Highest Common Factor of 2737, 9938 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 2737, 9938 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2737, 9938 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 2737, 9938 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 2737, 9938 is 1.

HCF(2737, 9938) = 1

HCF of 2737, 9938 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 2737, 9938 is 1.

Highest Common Factor of 2737,9938 using Euclid's algorithm

Highest Common Factor of 2737,9938 is 1

Step 1: Since 9938 > 2737, we apply the division lemma to 9938 and 2737, to get

9938 = 2737 x 3 + 1727

Step 2: Since the reminder 2737 ≠ 0, we apply division lemma to 1727 and 2737, to get

2737 = 1727 x 1 + 1010

Step 3: We consider the new divisor 1727 and the new remainder 1010, and apply the division lemma to get

1727 = 1010 x 1 + 717

We consider the new divisor 1010 and the new remainder 717,and apply the division lemma to get

1010 = 717 x 1 + 293

We consider the new divisor 717 and the new remainder 293,and apply the division lemma to get

717 = 293 x 2 + 131

We consider the new divisor 293 and the new remainder 131,and apply the division lemma to get

293 = 131 x 2 + 31

We consider the new divisor 131 and the new remainder 31,and apply the division lemma to get

131 = 31 x 4 + 7

We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get

31 = 7 x 4 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2737 and 9938 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(131,31) = HCF(293,131) = HCF(717,293) = HCF(1010,717) = HCF(1727,1010) = HCF(2737,1727) = HCF(9938,2737) .

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Frequently Asked Questions on HCF of 2737, 9938 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 2737, 9938?

Answer: HCF of 2737, 9938 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2737, 9938 using Euclid's Algorithm?

Answer: For arbitrary numbers 2737, 9938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.