Highest Common Factor of 7867, 3537 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 7867, 3537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7867, 3537 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 7867, 3537 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 7867, 3537 is 1.

HCF(7867, 3537) = 1

HCF of 7867, 3537 using Euclid's algorithm

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

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Highest common factor (HCF) of 7867, 3537 is 1.

Highest Common Factor of 7867,3537 using Euclid's algorithm

Highest Common Factor of 7867,3537 is 1

Step 1: Since 7867 > 3537, we apply the division lemma to 7867 and 3537, to get

7867 = 3537 x 2 + 793

Step 2: Since the reminder 3537 ≠ 0, we apply division lemma to 793 and 3537, to get

3537 = 793 x 4 + 365

Step 3: We consider the new divisor 793 and the new remainder 365, and apply the division lemma to get

793 = 365 x 2 + 63

We consider the new divisor 365 and the new remainder 63,and apply the division lemma to get

365 = 63 x 5 + 50

We consider the new divisor 63 and the new remainder 50,and apply the division lemma to get

63 = 50 x 1 + 13

We consider the new divisor 50 and the new remainder 13,and apply the division lemma to get

50 = 13 x 3 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 7867 and 3537 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(50,13) = HCF(63,50) = HCF(365,63) = HCF(793,365) = HCF(3537,793) = HCF(7867,3537) .

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Frequently Asked Questions on HCF of 7867, 3537 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 7867, 3537?

Answer: HCF of 7867, 3537 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7867, 3537 using Euclid's Algorithm?

Answer: For arbitrary numbers 7867, 3537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.