Highest Common Factor of 620, 702, 767 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, 702, 767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 702, 767 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, 702, 767 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, 702, 767 is 1.

HCF(620, 702, 767) = 1

HCF of 620, 702, 767 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, 702, 767 is 1.

Highest Common Factor of 620,702,767 using Euclid's algorithm

Highest Common Factor of 620,702,767 is 1

Step 1: Since 702 > 620, we apply the division lemma to 702 and 620, to get

702 = 620 x 1 + 82

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 82 and 620, to get

620 = 82 x 7 + 46

Step 3: We consider the new divisor 82 and the new remainder 46, and apply the division lemma to get

82 = 46 x 1 + 36

We consider the new divisor 46 and the new remainder 36,and apply the division lemma to get

46 = 36 x 1 + 10

We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get

36 = 10 x 3 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 620 and 702 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(46,36) = HCF(82,46) = HCF(620,82) = HCF(702,620) .

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

Step 1: Since 767 > 2, we apply the division lemma to 767 and 2, to get

767 = 2 x 383 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 767 is 1

Notice that 1 = HCF(2,1) = HCF(767,2) .

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Frequently Asked Questions on HCF of 620, 702, 767 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, 702, 767?

Answer: HCF of 620, 702, 767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 702, 767 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 702, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.