Highest Common Factor of 965, 1626 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 965, 1626 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 965, 1626 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 965, 1626 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 965, 1626 is 1.

HCF(965, 1626) = 1

HCF of 965, 1626 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 965, 1626 is 1.

Highest Common Factor of 965,1626 using Euclid's algorithm

Highest Common Factor of 965,1626 is 1

Step 1: Since 1626 > 965, we apply the division lemma to 1626 and 965, to get

1626 = 965 x 1 + 661

Step 2: Since the reminder 965 ≠ 0, we apply division lemma to 661 and 965, to get

965 = 661 x 1 + 304

Step 3: We consider the new divisor 661 and the new remainder 304, and apply the division lemma to get

661 = 304 x 2 + 53

We consider the new divisor 304 and the new remainder 53,and apply the division lemma to get

304 = 53 x 5 + 39

We consider the new divisor 53 and the new remainder 39,and apply the division lemma to get

53 = 39 x 1 + 14

We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get

39 = 14 x 2 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 965 and 1626 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(53,39) = HCF(304,53) = HCF(661,304) = HCF(965,661) = HCF(1626,965) .

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Frequently Asked Questions on HCF of 965, 1626 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 965, 1626?

Answer: HCF of 965, 1626 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 965, 1626 using Euclid's Algorithm?

Answer: For arbitrary numbers 965, 1626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.