Highest Common Factor of 7531, 1422, 59886 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 7531, 1422, 59886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7531, 1422, 59886 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 7531, 1422, 59886 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 7531, 1422, 59886 is 1.

HCF(7531, 1422, 59886) = 1

HCF of 7531, 1422, 59886 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 7531, 1422, 59886 is 1.

Highest Common Factor of 7531,1422,59886 using Euclid's algorithm

Highest Common Factor of 7531,1422,59886 is 1

Step 1: Since 7531 > 1422, we apply the division lemma to 7531 and 1422, to get

7531 = 1422 x 5 + 421

Step 2: Since the reminder 1422 ≠ 0, we apply division lemma to 421 and 1422, to get

1422 = 421 x 3 + 159

Step 3: We consider the new divisor 421 and the new remainder 159, and apply the division lemma to get

421 = 159 x 2 + 103

We consider the new divisor 159 and the new remainder 103,and apply the division lemma to get

159 = 103 x 1 + 56

We consider the new divisor 103 and the new remainder 56,and apply the division lemma to get

103 = 56 x 1 + 47

We consider the new divisor 56 and the new remainder 47,and apply the division lemma to get

56 = 47 x 1 + 9

We consider the new divisor 47 and the new remainder 9,and apply the division lemma to get

47 = 9 x 5 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 7531 and 1422 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(47,9) = HCF(56,47) = HCF(103,56) = HCF(159,103) = HCF(421,159) = HCF(1422,421) = HCF(7531,1422) .

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

Step 1: Since 59886 > 1, we apply the division lemma to 59886 and 1, to get

59886 = 1 x 59886 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59886 is 1

Notice that 1 = HCF(59886,1) .

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Frequently Asked Questions on HCF of 7531, 1422, 59886 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 7531, 1422, 59886?

Answer: HCF of 7531, 1422, 59886 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7531, 1422, 59886 using Euclid's Algorithm?

Answer: For arbitrary numbers 7531, 1422, 59886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.