Highest Common Factor of 761, 702, 641 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 761, 702, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 761, 702, 641 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 761, 702, 641 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 761, 702, 641 is 1.

HCF(761, 702, 641) = 1

HCF of 761, 702, 641 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 761, 702, 641 is 1.

Highest Common Factor of 761,702,641 using Euclid's algorithm

Highest Common Factor of 761,702,641 is 1

Step 1: Since 761 > 702, we apply the division lemma to 761 and 702, to get

761 = 702 x 1 + 59

Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 59 and 702, to get

702 = 59 x 11 + 53

Step 3: We consider the new divisor 59 and the new remainder 53, and apply the division lemma to get

59 = 53 x 1 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 761 and 702 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(702,59) = HCF(761,702) .


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

Step 1: Since 641 > 1, we apply the division lemma to 641 and 1, to get

641 = 1 x 641 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 641 is 1

Notice that 1 = HCF(641,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 761, 702, 641 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 761, 702, 641?

Answer: HCF of 761, 702, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 761, 702, 641 using Euclid's Algorithm?

Answer: For arbitrary numbers 761, 702, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.