Highest Common Factor of 486, 473, 632, 79 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 486, 473, 632, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 486, 473, 632, 79 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 486, 473, 632, 79 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 486, 473, 632, 79 is 1.

HCF(486, 473, 632, 79) = 1

HCF of 486, 473, 632, 79 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 486, 473, 632, 79 is 1.

Highest Common Factor of 486,473,632,79 using Euclid's algorithm

Highest Common Factor of 486,473,632,79 is 1

Step 1: Since 486 > 473, we apply the division lemma to 486 and 473, to get

486 = 473 x 1 + 13

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 13 and 473, to get

473 = 13 x 36 + 5

Step 3: We consider the new divisor 13 and the new remainder 5, and apply the division lemma to get

13 = 5 x 2 + 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 486 and 473 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(473,13) = HCF(486,473) .

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

Step 1: Since 632 > 1, we apply the division lemma to 632 and 1, to get

632 = 1 x 632 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 632 is 1

Notice that 1 = HCF(632,1) .

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

Step 1: Since 79 > 1, we apply the division lemma to 79 and 1, to get

79 = 1 x 79 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79 is 1

Notice that 1 = HCF(79,1) .

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Frequently Asked Questions on HCF of 486, 473, 632, 79 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 486, 473, 632, 79?

Answer: HCF of 486, 473, 632, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 486, 473, 632, 79 using Euclid's Algorithm?

Answer: For arbitrary numbers 486, 473, 632, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.