Highest Common Factor of 20, 15, 471, 743 using Euclid's algorithm

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, 15, 471, 743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 20, 15, 471, 743 is 1 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, 15, 471, 743 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, 15, 471, 743 is 1.

HCF(20, 15, 471, 743) = 1

HCF of 20, 15, 471, 743 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 20, 15, 471, 743 is 1.

Highest Common Factor of 20,15,471,743 using Euclid's algorithm

Highest Common Factor of 20,15,471,743 is 1

Step 1: Since 20 > 15, we apply the division lemma to 20 and 15, to get

20 = 15 x 1 + 5

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 5 and 15, to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 20 and 15 is 5

Notice that 5 = HCF(15,5) = HCF(20,15) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 471 > 5, we apply the division lemma to 471 and 5, to get

471 = 5 x 94 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 471 is 1

Notice that 1 = HCF(5,1) = HCF(471,5) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 743 > 1, we apply the division lemma to 743 and 1, to get

743 = 1 x 743 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 743 is 1

Notice that 1 = HCF(743,1) .

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Frequently Asked Questions on HCF of 20, 15, 471, 743 using Euclid's Algorithm

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, 15, 471, 743?

Answer: HCF of 20, 15, 471, 743 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 20, 15, 471, 743 using Euclid's Algorithm?

Answer: For arbitrary numbers 20, 15, 471, 743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.