Highest Common Factor of 6985, 5249 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 6985, 5249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6985, 5249 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 6985, 5249 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 6985, 5249 is 1.

HCF(6985, 5249) = 1

HCF of 6985, 5249 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 6985, 5249 is 1.

Highest Common Factor of 6985,5249 using Euclid's algorithm

Highest Common Factor of 6985,5249 is 1

Step 1: Since 6985 > 5249, we apply the division lemma to 6985 and 5249, to get

6985 = 5249 x 1 + 1736

Step 2: Since the reminder 5249 ≠ 0, we apply division lemma to 1736 and 5249, to get

5249 = 1736 x 3 + 41

Step 3: We consider the new divisor 1736 and the new remainder 41, and apply the division lemma to get

1736 = 41 x 42 + 14

We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get

41 = 14 x 2 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6985 and 5249 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(1736,41) = HCF(5249,1736) = HCF(6985,5249) .

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Frequently Asked Questions on HCF of 6985, 5249 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 6985, 5249?

Answer: HCF of 6985, 5249 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6985, 5249 using Euclid's Algorithm?

Answer: For arbitrary numbers 6985, 5249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.