Highest Common Factor of 636, 855, 280 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 636, 855, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 636, 855, 280 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 636, 855, 280 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 636, 855, 280 is 1.

HCF(636, 855, 280) = 1

HCF of 636, 855, 280 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 636, 855, 280 is 1.

Highest Common Factor of 636,855,280 using Euclid's algorithm

Highest Common Factor of 636,855,280 is 1

Step 1: Since 855 > 636, we apply the division lemma to 855 and 636, to get

855 = 636 x 1 + 219

Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 219 and 636, to get

636 = 219 x 2 + 198

Step 3: We consider the new divisor 219 and the new remainder 198, and apply the division lemma to get

219 = 198 x 1 + 21

We consider the new divisor 198 and the new remainder 21,and apply the division lemma to get

198 = 21 x 9 + 9

We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get

21 = 9 x 2 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 636 and 855 is 3

Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(198,21) = HCF(219,198) = HCF(636,219) = HCF(855,636) .

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

Step 1: Since 280 > 3, we apply the division lemma to 280 and 3, to get

280 = 3 x 93 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 280 is 1

Notice that 1 = HCF(3,1) = HCF(280,3) .

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Frequently Asked Questions on HCF of 636, 855, 280 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 636, 855, 280?

Answer: HCF of 636, 855, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 636, 855, 280 using Euclid's Algorithm?

Answer: For arbitrary numbers 636, 855, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.