Highest Common Factor of 7842, 9541 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 7842, 9541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7842, 9541 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 7842, 9541 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 7842, 9541 is 1.

HCF(7842, 9541) = 1

HCF of 7842, 9541 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 7842, 9541 is 1.

Highest Common Factor of 7842,9541 using Euclid's algorithm

Highest Common Factor of 7842,9541 is 1

Step 1: Since 9541 > 7842, we apply the division lemma to 9541 and 7842, to get

9541 = 7842 x 1 + 1699

Step 2: Since the reminder 7842 ≠ 0, we apply division lemma to 1699 and 7842, to get

7842 = 1699 x 4 + 1046

Step 3: We consider the new divisor 1699 and the new remainder 1046, and apply the division lemma to get

1699 = 1046 x 1 + 653

We consider the new divisor 1046 and the new remainder 653,and apply the division lemma to get

1046 = 653 x 1 + 393

We consider the new divisor 653 and the new remainder 393,and apply the division lemma to get

653 = 393 x 1 + 260

We consider the new divisor 393 and the new remainder 260,and apply the division lemma to get

393 = 260 x 1 + 133

We consider the new divisor 260 and the new remainder 133,and apply the division lemma to get

260 = 133 x 1 + 127

We consider the new divisor 133 and the new remainder 127,and apply the division lemma to get

133 = 127 x 1 + 6

We consider the new divisor 127 and the new remainder 6,and apply the division lemma to get

127 = 6 x 21 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7842 and 9541 is 1

Notice that 1 = HCF(6,1) = HCF(127,6) = HCF(133,127) = HCF(260,133) = HCF(393,260) = HCF(653,393) = HCF(1046,653) = HCF(1699,1046) = HCF(7842,1699) = HCF(9541,7842) .

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Frequently Asked Questions on HCF of 7842, 9541 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 7842, 9541?

Answer: HCF of 7842, 9541 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7842, 9541 using Euclid's Algorithm?

Answer: For arbitrary numbers 7842, 9541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.