Highest Common Factor of 3097, 7788 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, 7788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3097, 7788 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, 7788 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, 7788 is 1.

HCF(3097, 7788) = 1

HCF of 3097, 7788 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, 7788 is 1.

Highest Common Factor of 3097,7788 using Euclid's algorithm

Highest Common Factor of 3097,7788 is 1

Step 1: Since 7788 > 3097, we apply the division lemma to 7788 and 3097, to get

7788 = 3097 x 2 + 1594

Step 2: Since the reminder 3097 ≠ 0, we apply division lemma to 1594 and 3097, to get

3097 = 1594 x 1 + 1503

Step 3: We consider the new divisor 1594 and the new remainder 1503, and apply the division lemma to get

1594 = 1503 x 1 + 91

We consider the new divisor 1503 and the new remainder 91,and apply the division lemma to get

1503 = 91 x 16 + 47

We consider the new divisor 91 and the new remainder 47,and apply the division lemma to get

91 = 47 x 1 + 44

We consider the new divisor 47 and the new remainder 44,and apply the division lemma to get

47 = 44 x 1 + 3

We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get

44 = 3 x 14 + 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 3097 and 7788 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(47,44) = HCF(91,47) = HCF(1503,91) = HCF(1594,1503) = HCF(3097,1594) = HCF(7788,3097) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 3097, 7788 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, 7788?

Answer: HCF of 3097, 7788 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3097, 7788 using Euclid's Algorithm?

Answer: For arbitrary numbers 3097, 7788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.