Highest Common Factor of 81, 767, 506, 748 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 81, 767, 506, 748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 81, 767, 506, 748 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 81, 767, 506, 748 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 81, 767, 506, 748 is 1.

HCF(81, 767, 506, 748) = 1

HCF of 81, 767, 506, 748 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 81, 767, 506, 748 is 1.

Highest Common Factor of 81,767,506,748 using Euclid's algorithm

Highest Common Factor of 81,767,506,748 is 1

Step 1: Since 767 > 81, we apply the division lemma to 767 and 81, to get

767 = 81 x 9 + 38

Step 2: Since the reminder 81 ≠ 0, we apply division lemma to 38 and 81, to get

81 = 38 x 2 + 5

Step 3: We consider the new divisor 38 and the new remainder 5, and apply the division lemma to get

38 = 5 x 7 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 81 and 767 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(81,38) = HCF(767,81) .

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

Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get

506 = 1 x 506 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1

Notice that 1 = HCF(506,1) .

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

Step 1: Since 748 > 1, we apply the division lemma to 748 and 1, to get

748 = 1 x 748 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 748 is 1

Notice that 1 = HCF(748,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 81, 767, 506, 748 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 81, 767, 506, 748?

Answer: HCF of 81, 767, 506, 748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 81, 767, 506, 748 using Euclid's Algorithm?

Answer: For arbitrary numbers 81, 767, 506, 748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.