Highest Common Factor of 8525, 5207 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 8525, 5207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8525, 5207 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 8525, 5207 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 8525, 5207 is 1.

HCF(8525, 5207) = 1

HCF of 8525, 5207 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 8525, 5207 is 1.

Highest Common Factor of 8525,5207 using Euclid's algorithm

Highest Common Factor of 8525,5207 is 1

Step 1: Since 8525 > 5207, we apply the division lemma to 8525 and 5207, to get

8525 = 5207 x 1 + 3318

Step 2: Since the reminder 5207 ≠ 0, we apply division lemma to 3318 and 5207, to get

5207 = 3318 x 1 + 1889

Step 3: We consider the new divisor 3318 and the new remainder 1889, and apply the division lemma to get

3318 = 1889 x 1 + 1429

We consider the new divisor 1889 and the new remainder 1429,and apply the division lemma to get

1889 = 1429 x 1 + 460

We consider the new divisor 1429 and the new remainder 460,and apply the division lemma to get

1429 = 460 x 3 + 49

We consider the new divisor 460 and the new remainder 49,and apply the division lemma to get

460 = 49 x 9 + 19

We consider the new divisor 49 and the new remainder 19,and apply the division lemma to get

49 = 19 x 2 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 8525 and 5207 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(49,19) = HCF(460,49) = HCF(1429,460) = HCF(1889,1429) = HCF(3318,1889) = HCF(5207,3318) = HCF(8525,5207) .

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Frequently Asked Questions on HCF of 8525, 5207 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 8525, 5207?

Answer: HCF of 8525, 5207 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8525, 5207 using Euclid's Algorithm?

Answer: For arbitrary numbers 8525, 5207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.