Highest Common Factor of 7465, 955 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, 955 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 7465, 955 is 5 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, 955 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, 955 is 5.

HCF(7465, 955) = 5

HCF of 7465, 955 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, 955 is 5.

Highest Common Factor of 7465,955 using Euclid's algorithm

Highest Common Factor of 7465,955 is 5

Step 1: Since 7465 > 955, we apply the division lemma to 7465 and 955, to get

7465 = 955 x 7 + 780

Step 2: Since the reminder 955 ≠ 0, we apply division lemma to 780 and 955, to get

955 = 780 x 1 + 175

Step 3: We consider the new divisor 780 and the new remainder 175, and apply the division lemma to get

780 = 175 x 4 + 80

We consider the new divisor 175 and the new remainder 80,and apply the division lemma to get

175 = 80 x 2 + 15

We consider the new divisor 80 and the new remainder 15,and apply the division lemma to get

80 = 15 x 5 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7465 and 955 is 5

Notice that 5 = HCF(15,5) = HCF(80,15) = HCF(175,80) = HCF(780,175) = HCF(955,780) = HCF(7465,955) .

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Frequently Asked Questions on HCF of 7465, 955 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, 955?

Answer: HCF of 7465, 955 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7465, 955 using Euclid's Algorithm?

Answer: For arbitrary numbers 7465, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.