Highest Common Factor of 5156, 8491, 97435 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 5156, 8491, 97435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5156, 8491, 97435 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 5156, 8491, 97435 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 5156, 8491, 97435 is 1.

HCF(5156, 8491, 97435) = 1

HCF of 5156, 8491, 97435 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 5156, 8491, 97435 is 1.

Highest Common Factor of 5156,8491,97435 using Euclid's algorithm

Highest Common Factor of 5156,8491,97435 is 1

Step 1: Since 8491 > 5156, we apply the division lemma to 8491 and 5156, to get

8491 = 5156 x 1 + 3335

Step 2: Since the reminder 5156 ≠ 0, we apply division lemma to 3335 and 5156, to get

5156 = 3335 x 1 + 1821

Step 3: We consider the new divisor 3335 and the new remainder 1821, and apply the division lemma to get

3335 = 1821 x 1 + 1514

We consider the new divisor 1821 and the new remainder 1514,and apply the division lemma to get

1821 = 1514 x 1 + 307

We consider the new divisor 1514 and the new remainder 307,and apply the division lemma to get

1514 = 307 x 4 + 286

We consider the new divisor 307 and the new remainder 286,and apply the division lemma to get

307 = 286 x 1 + 21

We consider the new divisor 286 and the new remainder 21,and apply the division lemma to get

286 = 21 x 13 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5156 and 8491 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(286,21) = HCF(307,286) = HCF(1514,307) = HCF(1821,1514) = HCF(3335,1821) = HCF(5156,3335) = HCF(8491,5156) .

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

Step 1: Since 97435 > 1, we apply the division lemma to 97435 and 1, to get

97435 = 1 x 97435 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97435 is 1

Notice that 1 = HCF(97435,1) .

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Frequently Asked Questions on HCF of 5156, 8491, 97435 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 5156, 8491, 97435?

Answer: HCF of 5156, 8491, 97435 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5156, 8491, 97435 using Euclid's Algorithm?

Answer: For arbitrary numbers 5156, 8491, 97435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.