Highest Common Factor of 3736, 1365 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 3736, 1365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3736, 1365 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 3736, 1365 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 3736, 1365 is 1.

HCF(3736, 1365) = 1

HCF of 3736, 1365 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 3736, 1365 is 1.

Highest Common Factor of 3736,1365 using Euclid's algorithm

Highest Common Factor of 3736,1365 is 1

Step 1: Since 3736 > 1365, we apply the division lemma to 3736 and 1365, to get

3736 = 1365 x 2 + 1006

Step 2: Since the reminder 1365 ≠ 0, we apply division lemma to 1006 and 1365, to get

1365 = 1006 x 1 + 359

Step 3: We consider the new divisor 1006 and the new remainder 359, and apply the division lemma to get

1006 = 359 x 2 + 288

We consider the new divisor 359 and the new remainder 288,and apply the division lemma to get

359 = 288 x 1 + 71

We consider the new divisor 288 and the new remainder 71,and apply the division lemma to get

288 = 71 x 4 + 4

We consider the new divisor 71 and the new remainder 4,and apply the division lemma to get

71 = 4 x 17 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 3736 and 1365 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) = HCF(288,71) = HCF(359,288) = HCF(1006,359) = HCF(1365,1006) = HCF(3736,1365) .

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Frequently Asked Questions on HCF of 3736, 1365 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 3736, 1365?

Answer: HCF of 3736, 1365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3736, 1365 using Euclid's Algorithm?

Answer: For arbitrary numbers 3736, 1365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.