Highest Common Factor of 2825, 607 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 2825, 607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2825, 607 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 2825, 607 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 2825, 607 is 1.

HCF(2825, 607) = 1

HCF of 2825, 607 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 2825, 607 is 1.

Highest Common Factor of 2825,607 using Euclid's algorithm

Highest Common Factor of 2825,607 is 1

Step 1: Since 2825 > 607, we apply the division lemma to 2825 and 607, to get

2825 = 607 x 4 + 397

Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 397 and 607, to get

607 = 397 x 1 + 210

Step 3: We consider the new divisor 397 and the new remainder 210, and apply the division lemma to get

397 = 210 x 1 + 187

We consider the new divisor 210 and the new remainder 187,and apply the division lemma to get

210 = 187 x 1 + 23

We consider the new divisor 187 and the new remainder 23,and apply the division lemma to get

187 = 23 x 8 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 2825 and 607 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(187,23) = HCF(210,187) = HCF(397,210) = HCF(607,397) = HCF(2825,607) .

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Frequently Asked Questions on HCF of 2825, 607 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 2825, 607?

Answer: HCF of 2825, 607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2825, 607 using Euclid's Algorithm?

Answer: For arbitrary numbers 2825, 607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.