Highest Common Factor of 620, 6235, 5679 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 620, 6235, 5679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 6235, 5679 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 620, 6235, 5679 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 620, 6235, 5679 is 1.

HCF(620, 6235, 5679) = 1

HCF of 620, 6235, 5679 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 620, 6235, 5679 is 1.

Highest Common Factor of 620,6235,5679 using Euclid's algorithm

Highest Common Factor of 620,6235,5679 is 1

Step 1: Since 6235 > 620, we apply the division lemma to 6235 and 620, to get

6235 = 620 x 10 + 35

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 35 and 620, to get

620 = 35 x 17 + 25

Step 3: We consider the new divisor 35 and the new remainder 25, and apply the division lemma to get

35 = 25 x 1 + 10

We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get

25 = 10 x 2 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 620 and 6235 is 5

Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(620,35) = HCF(6235,620) .

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

Step 1: Since 5679 > 5, we apply the division lemma to 5679 and 5, to get

5679 = 5 x 1135 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 5679 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(5679,5) .

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Frequently Asked Questions on HCF of 620, 6235, 5679 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 620, 6235, 5679?

Answer: HCF of 620, 6235, 5679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 6235, 5679 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 6235, 5679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.