Highest Common Factor of 7465, 9777 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 7465, 9777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7465, 9777 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 7465, 9777 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 7465, 9777 is 1.

HCF(7465, 9777) = 1

HCF of 7465, 9777 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 7465, 9777 is 1.

Highest Common Factor of 7465,9777 using Euclid's algorithm

Highest Common Factor of 7465,9777 is 1

Step 1: Since 9777 > 7465, we apply the division lemma to 9777 and 7465, to get

9777 = 7465 x 1 + 2312

Step 2: Since the reminder 7465 ≠ 0, we apply division lemma to 2312 and 7465, to get

7465 = 2312 x 3 + 529

Step 3: We consider the new divisor 2312 and the new remainder 529, and apply the division lemma to get

2312 = 529 x 4 + 196

We consider the new divisor 529 and the new remainder 196,and apply the division lemma to get

529 = 196 x 2 + 137

We consider the new divisor 196 and the new remainder 137,and apply the division lemma to get

196 = 137 x 1 + 59

We consider the new divisor 137 and the new remainder 59,and apply the division lemma to get

137 = 59 x 2 + 19

We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get

59 = 19 x 3 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 7465 and 9777 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(137,59) = HCF(196,137) = HCF(529,196) = HCF(2312,529) = HCF(7465,2312) = HCF(9777,7465) .

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Frequently Asked Questions on HCF of 7465, 9777 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 7465, 9777?

Answer: HCF of 7465, 9777 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7465, 9777 using Euclid's Algorithm?

Answer: For arbitrary numbers 7465, 9777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.