Highest Common Factor of 7125, 9859 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 7125, 9859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7125, 9859 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 7125, 9859 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 7125, 9859 is 1.

HCF(7125, 9859) = 1

HCF of 7125, 9859 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 7125, 9859 is 1.

Highest Common Factor of 7125,9859 using Euclid's algorithm

Highest Common Factor of 7125,9859 is 1

Step 1: Since 9859 > 7125, we apply the division lemma to 9859 and 7125, to get

9859 = 7125 x 1 + 2734

Step 2: Since the reminder 7125 ≠ 0, we apply division lemma to 2734 and 7125, to get

7125 = 2734 x 2 + 1657

Step 3: We consider the new divisor 2734 and the new remainder 1657, and apply the division lemma to get

2734 = 1657 x 1 + 1077

We consider the new divisor 1657 and the new remainder 1077,and apply the division lemma to get

1657 = 1077 x 1 + 580

We consider the new divisor 1077 and the new remainder 580,and apply the division lemma to get

1077 = 580 x 1 + 497

We consider the new divisor 580 and the new remainder 497,and apply the division lemma to get

580 = 497 x 1 + 83

We consider the new divisor 497 and the new remainder 83,and apply the division lemma to get

497 = 83 x 5 + 82

We consider the new divisor 83 and the new remainder 82,and apply the division lemma to get

83 = 82 x 1 + 1

We consider the new divisor 82 and the new remainder 1,and apply the division lemma to get

82 = 1 x 82 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7125 and 9859 is 1

Notice that 1 = HCF(82,1) = HCF(83,82) = HCF(497,83) = HCF(580,497) = HCF(1077,580) = HCF(1657,1077) = HCF(2734,1657) = HCF(7125,2734) = HCF(9859,7125) .

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Frequently Asked Questions on HCF of 7125, 9859 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 7125, 9859?

Answer: HCF of 7125, 9859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7125, 9859 using Euclid's Algorithm?

Answer: For arbitrary numbers 7125, 9859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.