Highest Common Factor of 4720, 3731 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 4720, 3731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4720, 3731 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 4720, 3731 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 4720, 3731 is 1.

HCF(4720, 3731) = 1

HCF of 4720, 3731 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 4720, 3731 is 1.

Highest Common Factor of 4720,3731 using Euclid's algorithm

Highest Common Factor of 4720,3731 is 1

Step 1: Since 4720 > 3731, we apply the division lemma to 4720 and 3731, to get

4720 = 3731 x 1 + 989

Step 2: Since the reminder 3731 ≠ 0, we apply division lemma to 989 and 3731, to get

3731 = 989 x 3 + 764

Step 3: We consider the new divisor 989 and the new remainder 764, and apply the division lemma to get

989 = 764 x 1 + 225

We consider the new divisor 764 and the new remainder 225,and apply the division lemma to get

764 = 225 x 3 + 89

We consider the new divisor 225 and the new remainder 89,and apply the division lemma to get

225 = 89 x 2 + 47

We consider the new divisor 89 and the new remainder 47,and apply the division lemma to get

89 = 47 x 1 + 42

We consider the new divisor 47 and the new remainder 42,and apply the division lemma to get

47 = 42 x 1 + 5

We consider the new divisor 42 and the new remainder 5,and apply the division lemma to get

42 = 5 x 8 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4720 and 3731 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(42,5) = HCF(47,42) = HCF(89,47) = HCF(225,89) = HCF(764,225) = HCF(989,764) = HCF(3731,989) = HCF(4720,3731) .

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Frequently Asked Questions on HCF of 4720, 3731 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 4720, 3731?

Answer: HCF of 4720, 3731 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4720, 3731 using Euclid's Algorithm?

Answer: For arbitrary numbers 4720, 3731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.