Highest Common Factor of 3265, 7724 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 3265, 7724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3265, 7724 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 3265, 7724 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 3265, 7724 is 1.

HCF(3265, 7724) = 1

HCF of 3265, 7724 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 3265, 7724 is 1.

Highest Common Factor of 3265,7724 using Euclid's algorithm

Highest Common Factor of 3265,7724 is 1

Step 1: Since 7724 > 3265, we apply the division lemma to 7724 and 3265, to get

7724 = 3265 x 2 + 1194

Step 2: Since the reminder 3265 ≠ 0, we apply division lemma to 1194 and 3265, to get

3265 = 1194 x 2 + 877

Step 3: We consider the new divisor 1194 and the new remainder 877, and apply the division lemma to get

1194 = 877 x 1 + 317

We consider the new divisor 877 and the new remainder 317,and apply the division lemma to get

877 = 317 x 2 + 243

We consider the new divisor 317 and the new remainder 243,and apply the division lemma to get

317 = 243 x 1 + 74

We consider the new divisor 243 and the new remainder 74,and apply the division lemma to get

243 = 74 x 3 + 21

We consider the new divisor 74 and the new remainder 21,and apply the division lemma to get

74 = 21 x 3 + 11

We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get

21 = 11 x 1 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3265 and 7724 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(74,21) = HCF(243,74) = HCF(317,243) = HCF(877,317) = HCF(1194,877) = HCF(3265,1194) = HCF(7724,3265) .

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Frequently Asked Questions on HCF of 3265, 7724 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 3265, 7724?

Answer: HCF of 3265, 7724 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3265, 7724 using Euclid's Algorithm?

Answer: For arbitrary numbers 3265, 7724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.