Highest Common Factor of 5007, 652 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 5007, 652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5007, 652 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 5007, 652 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 5007, 652 is 1.

HCF(5007, 652) = 1

HCF of 5007, 652 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 5007, 652 is 1.

Highest Common Factor of 5007,652 using Euclid's algorithm

Highest Common Factor of 5007,652 is 1

Step 1: Since 5007 > 652, we apply the division lemma to 5007 and 652, to get

5007 = 652 x 7 + 443

Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 443 and 652, to get

652 = 443 x 1 + 209

Step 3: We consider the new divisor 443 and the new remainder 209, and apply the division lemma to get

443 = 209 x 2 + 25

We consider the new divisor 209 and the new remainder 25,and apply the division lemma to get

209 = 25 x 8 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 5007 and 652 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(209,25) = HCF(443,209) = HCF(652,443) = HCF(5007,652) .

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Frequently Asked Questions on HCF of 5007, 652 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 5007, 652?

Answer: HCF of 5007, 652 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5007, 652 using Euclid's Algorithm?

Answer: For arbitrary numbers 5007, 652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.