Highest Common Factor of 2738, 9335 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 2738, 9335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2738, 9335 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 2738, 9335 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 2738, 9335 is 1.

HCF(2738, 9335) = 1

HCF of 2738, 9335 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 2738, 9335 is 1.

Highest Common Factor of 2738,9335 using Euclid's algorithm

Highest Common Factor of 2738,9335 is 1

Step 1: Since 9335 > 2738, we apply the division lemma to 9335 and 2738, to get

9335 = 2738 x 3 + 1121

Step 2: Since the reminder 2738 ≠ 0, we apply division lemma to 1121 and 2738, to get

2738 = 1121 x 2 + 496

Step 3: We consider the new divisor 1121 and the new remainder 496, and apply the division lemma to get

1121 = 496 x 2 + 129

We consider the new divisor 496 and the new remainder 129,and apply the division lemma to get

496 = 129 x 3 + 109

We consider the new divisor 129 and the new remainder 109,and apply the division lemma to get

129 = 109 x 1 + 20

We consider the new divisor 109 and the new remainder 20,and apply the division lemma to get

109 = 20 x 5 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2738 and 9335 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(109,20) = HCF(129,109) = HCF(496,129) = HCF(1121,496) = HCF(2738,1121) = HCF(9335,2738) .

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Frequently Asked Questions on HCF of 2738, 9335 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 2738, 9335?

Answer: HCF of 2738, 9335 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2738, 9335 using Euclid's Algorithm?

Answer: For arbitrary numbers 2738, 9335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.