**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 20, 24 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 20, 24 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 20, 24 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 20, 24 is **4**.

HCF(20, 24) = 4

*Highest common factor* or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

Highest common factor (HCF) of 20, 24 is **4**.

**Step 1:** Since 24 > 20, we apply the division lemma to 24 and 20, to get

24 = 20 x 1 + 4

**Step 2:** Since the reminder 20 ≠ 0, we apply division lemma to 4 and 20, to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 20 and 24 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) .

Here are some samples of HCF using Euclid's Algorithm calculations.

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 20, 24?

Answer: HCF of 20, 24 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 20, 24 using Euclid's Algorithm?

Answer: For arbitrary numbers 20, 24 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.