Highest Common Factor of 3650, 4967 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 3650, 4967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3650, 4967 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 3650, 4967 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 3650, 4967 is 1.

HCF(3650, 4967) = 1

HCF of 3650, 4967 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 3650, 4967 is 1.

Highest Common Factor of 3650,4967 using Euclid's algorithm

Highest Common Factor of 3650,4967 is 1

Step 1: Since 4967 > 3650, we apply the division lemma to 4967 and 3650, to get

4967 = 3650 x 1 + 1317

Step 2: Since the reminder 3650 ≠ 0, we apply division lemma to 1317 and 3650, to get

3650 = 1317 x 2 + 1016

Step 3: We consider the new divisor 1317 and the new remainder 1016, and apply the division lemma to get

1317 = 1016 x 1 + 301

We consider the new divisor 1016 and the new remainder 301,and apply the division lemma to get

1016 = 301 x 3 + 113

We consider the new divisor 301 and the new remainder 113,and apply the division lemma to get

301 = 113 x 2 + 75

We consider the new divisor 113 and the new remainder 75,and apply the division lemma to get

113 = 75 x 1 + 38

We consider the new divisor 75 and the new remainder 38,and apply the division lemma to get

75 = 38 x 1 + 37

We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get

38 = 37 x 1 + 1

We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get

37 = 1 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3650 and 4967 is 1

Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(75,38) = HCF(113,75) = HCF(301,113) = HCF(1016,301) = HCF(1317,1016) = HCF(3650,1317) = HCF(4967,3650) .

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Frequently Asked Questions on HCF of 3650, 4967 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 3650, 4967?

Answer: HCF of 3650, 4967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3650, 4967 using Euclid's Algorithm?

Answer: For arbitrary numbers 3650, 4967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.