Highest Common Factor of 6985, 9544 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, 9544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6985, 9544 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, 9544 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, 9544 is 1.

HCF(6985, 9544) = 1

HCF of 6985, 9544 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, 9544 is 1.

Highest Common Factor of 6985,9544 using Euclid's algorithm

Highest Common Factor of 6985,9544 is 1

Step 1: Since 9544 > 6985, we apply the division lemma to 9544 and 6985, to get

9544 = 6985 x 1 + 2559

Step 2: Since the reminder 6985 ≠ 0, we apply division lemma to 2559 and 6985, to get

6985 = 2559 x 2 + 1867

Step 3: We consider the new divisor 2559 and the new remainder 1867, and apply the division lemma to get

2559 = 1867 x 1 + 692

We consider the new divisor 1867 and the new remainder 692,and apply the division lemma to get

1867 = 692 x 2 + 483

We consider the new divisor 692 and the new remainder 483,and apply the division lemma to get

692 = 483 x 1 + 209

We consider the new divisor 483 and the new remainder 209,and apply the division lemma to get

483 = 209 x 2 + 65

We consider the new divisor 209 and the new remainder 65,and apply the division lemma to get

209 = 65 x 3 + 14

We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get

65 = 14 x 4 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6985 and 9544 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(209,65) = HCF(483,209) = HCF(692,483) = HCF(1867,692) = HCF(2559,1867) = HCF(6985,2559) = HCF(9544,6985) .

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Frequently Asked Questions on HCF of 6985, 9544 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, 9544?

Answer: HCF of 6985, 9544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6985, 9544 using Euclid's Algorithm?

Answer: For arbitrary numbers 6985, 9544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.