Highest Common Factor of 3538, 9311 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 3538, 9311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3538, 9311 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 3538, 9311 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 3538, 9311 is 1.

HCF(3538, 9311) = 1

HCF of 3538, 9311 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 3538, 9311 is 1.

Highest Common Factor of 3538,9311 using Euclid's algorithm

Highest Common Factor of 3538,9311 is 1

Step 1: Since 9311 > 3538, we apply the division lemma to 9311 and 3538, to get

9311 = 3538 x 2 + 2235

Step 2: Since the reminder 3538 ≠ 0, we apply division lemma to 2235 and 3538, to get

3538 = 2235 x 1 + 1303

Step 3: We consider the new divisor 2235 and the new remainder 1303, and apply the division lemma to get

2235 = 1303 x 1 + 932

We consider the new divisor 1303 and the new remainder 932,and apply the division lemma to get

1303 = 932 x 1 + 371

We consider the new divisor 932 and the new remainder 371,and apply the division lemma to get

932 = 371 x 2 + 190

We consider the new divisor 371 and the new remainder 190,and apply the division lemma to get

371 = 190 x 1 + 181

We consider the new divisor 190 and the new remainder 181,and apply the division lemma to get

190 = 181 x 1 + 9

We consider the new divisor 181 and the new remainder 9,and apply the division lemma to get

181 = 9 x 20 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3538 and 9311 is 1

Notice that 1 = HCF(9,1) = HCF(181,9) = HCF(190,181) = HCF(371,190) = HCF(932,371) = HCF(1303,932) = HCF(2235,1303) = HCF(3538,2235) = HCF(9311,3538) .

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Frequently Asked Questions on HCF of 3538, 9311 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 3538, 9311?

Answer: HCF of 3538, 9311 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3538, 9311 using Euclid's Algorithm?

Answer: For arbitrary numbers 3538, 9311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.