Highest Common Factor of 6353, 4051, 36979 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 6353, 4051, 36979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6353, 4051, 36979 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 6353, 4051, 36979 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 6353, 4051, 36979 is 1.

HCF(6353, 4051, 36979) = 1

HCF of 6353, 4051, 36979 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 6353, 4051, 36979 is 1.

Highest Common Factor of 6353,4051,36979 using Euclid's algorithm

Highest Common Factor of 6353,4051,36979 is 1

Step 1: Since 6353 > 4051, we apply the division lemma to 6353 and 4051, to get

6353 = 4051 x 1 + 2302

Step 2: Since the reminder 4051 ≠ 0, we apply division lemma to 2302 and 4051, to get

4051 = 2302 x 1 + 1749

Step 3: We consider the new divisor 2302 and the new remainder 1749, and apply the division lemma to get

2302 = 1749 x 1 + 553

We consider the new divisor 1749 and the new remainder 553,and apply the division lemma to get

1749 = 553 x 3 + 90

We consider the new divisor 553 and the new remainder 90,and apply the division lemma to get

553 = 90 x 6 + 13

We consider the new divisor 90 and the new remainder 13,and apply the division lemma to get

90 = 13 x 6 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6353 and 4051 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(90,13) = HCF(553,90) = HCF(1749,553) = HCF(2302,1749) = HCF(4051,2302) = HCF(6353,4051) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 36979 > 1, we apply the division lemma to 36979 and 1, to get

36979 = 1 x 36979 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36979 is 1

Notice that 1 = HCF(36979,1) .

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Frequently Asked Questions on HCF of 6353, 4051, 36979 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 6353, 4051, 36979?

Answer: HCF of 6353, 4051, 36979 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6353, 4051, 36979 using Euclid's Algorithm?

Answer: For arbitrary numbers 6353, 4051, 36979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.