Highest Common Factor of 7129, 6703, 79071 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 7129, 6703, 79071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7129, 6703, 79071 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 7129, 6703, 79071 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 7129, 6703, 79071 is 1.

HCF(7129, 6703, 79071) = 1

HCF of 7129, 6703, 79071 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 7129, 6703, 79071 is 1.

Highest Common Factor of 7129,6703,79071 using Euclid's algorithm

Highest Common Factor of 7129,6703,79071 is 1

Step 1: Since 7129 > 6703, we apply the division lemma to 7129 and 6703, to get

7129 = 6703 x 1 + 426

Step 2: Since the reminder 6703 ≠ 0, we apply division lemma to 426 and 6703, to get

6703 = 426 x 15 + 313

Step 3: We consider the new divisor 426 and the new remainder 313, and apply the division lemma to get

426 = 313 x 1 + 113

We consider the new divisor 313 and the new remainder 113,and apply the division lemma to get

313 = 113 x 2 + 87

We consider the new divisor 113 and the new remainder 87,and apply the division lemma to get

113 = 87 x 1 + 26

We consider the new divisor 87 and the new remainder 26,and apply the division lemma to get

87 = 26 x 3 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7129 and 6703 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(87,26) = HCF(113,87) = HCF(313,113) = HCF(426,313) = HCF(6703,426) = HCF(7129,6703) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 79071 > 1, we apply the division lemma to 79071 and 1, to get

79071 = 1 x 79071 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79071 is 1

Notice that 1 = HCF(79071,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7129, 6703, 79071 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 7129, 6703, 79071?

Answer: HCF of 7129, 6703, 79071 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7129, 6703, 79071 using Euclid's Algorithm?

Answer: For arbitrary numbers 7129, 6703, 79071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.