Highest Common Factor of 492, 776, 629 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 492, 776, 629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 492, 776, 629 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 492, 776, 629 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 492, 776, 629 is 1.

HCF(492, 776, 629) = 1

HCF of 492, 776, 629 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 492, 776, 629 is 1.

Highest Common Factor of 492,776,629 using Euclid's algorithm

Highest Common Factor of 492,776,629 is 1

Step 1: Since 776 > 492, we apply the division lemma to 776 and 492, to get

776 = 492 x 1 + 284

Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 284 and 492, to get

492 = 284 x 1 + 208

Step 3: We consider the new divisor 284 and the new remainder 208, and apply the division lemma to get

284 = 208 x 1 + 76

We consider the new divisor 208 and the new remainder 76,and apply the division lemma to get

208 = 76 x 2 + 56

We consider the new divisor 76 and the new remainder 56,and apply the division lemma to get

76 = 56 x 1 + 20

We consider the new divisor 56 and the new remainder 20,and apply the division lemma to get

56 = 20 x 2 + 16

We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 492 and 776 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(76,56) = HCF(208,76) = HCF(284,208) = HCF(492,284) = HCF(776,492) .

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

Step 1: Since 629 > 4, we apply the division lemma to 629 and 4, to get

629 = 4 x 157 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 629 is 1

Notice that 1 = HCF(4,1) = HCF(629,4) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 492, 776, 629 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 492, 776, 629?

Answer: HCF of 492, 776, 629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 492, 776, 629 using Euclid's Algorithm?

Answer: For arbitrary numbers 492, 776, 629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.