Highest Common Factor of 9683, 5940 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 9683, 5940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9683, 5940 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 9683, 5940 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 9683, 5940 is 1.

HCF(9683, 5940) = 1

HCF of 9683, 5940 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 9683, 5940 is 1.

Highest Common Factor of 9683,5940 using Euclid's algorithm

Highest Common Factor of 9683,5940 is 1

Step 1: Since 9683 > 5940, we apply the division lemma to 9683 and 5940, to get

9683 = 5940 x 1 + 3743

Step 2: Since the reminder 5940 ≠ 0, we apply division lemma to 3743 and 5940, to get

5940 = 3743 x 1 + 2197

Step 3: We consider the new divisor 3743 and the new remainder 2197, and apply the division lemma to get

3743 = 2197 x 1 + 1546

We consider the new divisor 2197 and the new remainder 1546,and apply the division lemma to get

2197 = 1546 x 1 + 651

We consider the new divisor 1546 and the new remainder 651,and apply the division lemma to get

1546 = 651 x 2 + 244

We consider the new divisor 651 and the new remainder 244,and apply the division lemma to get

651 = 244 x 2 + 163

We consider the new divisor 244 and the new remainder 163,and apply the division lemma to get

244 = 163 x 1 + 81

We consider the new divisor 163 and the new remainder 81,and apply the division lemma to get

163 = 81 x 2 + 1

We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9683 and 5940 is 1

Notice that 1 = HCF(81,1) = HCF(163,81) = HCF(244,163) = HCF(651,244) = HCF(1546,651) = HCF(2197,1546) = HCF(3743,2197) = HCF(5940,3743) = HCF(9683,5940) .

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Frequently Asked Questions on HCF of 9683, 5940 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 9683, 5940?

Answer: HCF of 9683, 5940 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9683, 5940 using Euclid's Algorithm?

Answer: For arbitrary numbers 9683, 5940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.