Highest Common Factor of 9568, 7043 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 9568, 7043 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9568, 7043 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 9568, 7043 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 9568, 7043 is 1.

HCF(9568, 7043) = 1

HCF of 9568, 7043 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9568, 7043 is 1.

Highest Common Factor of 9568,7043 using Euclid's algorithm

Highest Common Factor of 9568,7043 is 1

Step 1: Since 9568 > 7043, we apply the division lemma to 9568 and 7043, to get

9568 = 7043 x 1 + 2525

Step 2: Since the reminder 7043 ≠ 0, we apply division lemma to 2525 and 7043, to get

7043 = 2525 x 2 + 1993

Step 3: We consider the new divisor 2525 and the new remainder 1993, and apply the division lemma to get

2525 = 1993 x 1 + 532

We consider the new divisor 1993 and the new remainder 532,and apply the division lemma to get

1993 = 532 x 3 + 397

We consider the new divisor 532 and the new remainder 397,and apply the division lemma to get

532 = 397 x 1 + 135

We consider the new divisor 397 and the new remainder 135,and apply the division lemma to get

397 = 135 x 2 + 127

We consider the new divisor 135 and the new remainder 127,and apply the division lemma to get

135 = 127 x 1 + 8

We consider the new divisor 127 and the new remainder 8,and apply the division lemma to get

127 = 8 x 15 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9568 and 7043 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(127,8) = HCF(135,127) = HCF(397,135) = HCF(532,397) = HCF(1993,532) = HCF(2525,1993) = HCF(7043,2525) = HCF(9568,7043) .

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Frequently Asked Questions on HCF of 9568, 7043 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 9568, 7043?

Answer: HCF of 9568, 7043 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9568, 7043 using Euclid's Algorithm?

Answer: For arbitrary numbers 9568, 7043 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.