---
id: 5900f3b41000cf542c50fec7
challengeType: 5
title: 'Problem 72: Counting fractions'
videoUrl: ''
localeTitle: 'المشكلة 72: عد الكسور'
---

## Description
<section id="description"> خذ بعين الاعتبار الكسر ، n / d ، حيث n و d أعداد صحيحة موجبة. إذا كان n <d 1="" 2="" 3="" 4="" 5="" 6="" 7="" 8="" 21="" and="" hcf(n,d)="1," it="" is="" called="" a="" reduced="" proper="" fraction.="" if="" we="" list="" the="" set="" of="" fractions="" for="" d="" ≤="" in="" ascending="" order="" size,="" get:="" 8,="" 7,="" 6,="" 5,="" 4,="" 3,="" 2,="" can="" be="" seen="" that="" there="" are="" elements="" this="" set.="" how="" many="" would="" contained="" 1,000,000?="" &#x3C;="" section=""><h2 style=";text-align:right;direction:rtl"> تعليمات </h2><section id="instructions"></section><h2 style=";text-align:right;direction:rtl"> اختبارات </h2><section id="tests"><pre style=";text-align:right;direction:rtl"> <code class="language-yml">tests: - text: &lt;code&gt;euler72()&lt;/code&gt; should return 303963552391. testString: &#39;assert.strictEqual(euler72(), 303963552391, &quot;&lt;code&gt;euler72()&lt;/code&gt; should return 303963552391.&quot;);&#39;</code> </pre></section><h2 style=";text-align:right;direction:rtl"> بذور التحدي </h2><section id="challengeSeed"><div id="js-seed" style=";text-align:right;direction:rtl"><pre style=";text-align:right;direction:rtl"> <code class="language-js">function euler72() { // Good luck! return true; } euler72();</code> </pre></div></section><h2 style=";text-align:right;direction:rtl"> حل </h2><section id="solution"><pre style=";text-align:right;direction:rtl"> <code class="language-js">// solution required</code> </pre></section></d></section>

## Instructions
<section id="instructions">
</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: يجب أن يقوم <code>euler72()</code> بإرجاع 303963552391.
    testString: 'assert.strictEqual(euler72(), 303963552391, "<code>euler72()</code> should return 303963552391.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler72() {
  // Good luck!
  return true;
}

euler72();

```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>
