Highest Common Factor of 7135, 3276 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 7135, 3276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7135, 3276 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 7135, 3276 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 7135, 3276 is 1.

HCF(7135, 3276) = 1

HCF of 7135, 3276 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 7135, 3276 is 1.

Highest Common Factor of 7135,3276 using Euclid's algorithm

Highest Common Factor of 7135,3276 is 1

Step 1: Since 7135 > 3276, we apply the division lemma to 7135 and 3276, to get

7135 = 3276 x 2 + 583

Step 2: Since the reminder 3276 ≠ 0, we apply division lemma to 583 and 3276, to get

3276 = 583 x 5 + 361

Step 3: We consider the new divisor 583 and the new remainder 361, and apply the division lemma to get

583 = 361 x 1 + 222

We consider the new divisor 361 and the new remainder 222,and apply the division lemma to get

361 = 222 x 1 + 139

We consider the new divisor 222 and the new remainder 139,and apply the division lemma to get

222 = 139 x 1 + 83

We consider the new divisor 139 and the new remainder 83,and apply the division lemma to get

139 = 83 x 1 + 56

We consider the new divisor 83 and the new remainder 56,and apply the division lemma to get

83 = 56 x 1 + 27

We consider the new divisor 56 and the new remainder 27,and apply the division lemma to get

56 = 27 x 2 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 7135 and 3276 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(56,27) = HCF(83,56) = HCF(139,83) = HCF(222,139) = HCF(361,222) = HCF(583,361) = HCF(3276,583) = HCF(7135,3276) .

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Frequently Asked Questions on HCF of 7135, 3276 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 7135, 3276?

Answer: HCF of 7135, 3276 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7135, 3276 using Euclid's Algorithm?

Answer: For arbitrary numbers 7135, 3276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.