Highest Common Factor of 3097, 962 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 3097, 962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3097, 962 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 3097, 962 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 3097, 962 is 1.

HCF(3097, 962) = 1

HCF of 3097, 962 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 3097, 962 is 1.

Highest Common Factor of 3097,962 using Euclid's algorithm

Highest Common Factor of 3097,962 is 1

Step 1: Since 3097 > 962, we apply the division lemma to 3097 and 962, to get

3097 = 962 x 3 + 211

Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 211 and 962, to get

962 = 211 x 4 + 118

Step 3: We consider the new divisor 211 and the new remainder 118, and apply the division lemma to get

211 = 118 x 1 + 93

We consider the new divisor 118 and the new remainder 93,and apply the division lemma to get

118 = 93 x 1 + 25

We consider the new divisor 93 and the new remainder 25,and apply the division lemma to get

93 = 25 x 3 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3097 and 962 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(93,25) = HCF(118,93) = HCF(211,118) = HCF(962,211) = HCF(3097,962) .

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Frequently Asked Questions on HCF of 3097, 962 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 3097, 962?

Answer: HCF of 3097, 962 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3097, 962 using Euclid's Algorithm?

Answer: For arbitrary numbers 3097, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.