Highest Common Factor of 487, 916, 220 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 487, 916, 220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 487, 916, 220 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 487, 916, 220 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 487, 916, 220 is 1.

HCF(487, 916, 220) = 1

HCF of 487, 916, 220 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 487, 916, 220 is 1.

Highest Common Factor of 487,916,220 using Euclid's algorithm

Highest Common Factor of 487,916,220 is 1

Step 1: Since 916 > 487, we apply the division lemma to 916 and 487, to get

916 = 487 x 1 + 429

Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 429 and 487, to get

487 = 429 x 1 + 58

Step 3: We consider the new divisor 429 and the new remainder 58, and apply the division lemma to get

429 = 58 x 7 + 23

We consider the new divisor 58 and the new remainder 23,and apply the division lemma to get

58 = 23 x 2 + 12

We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get

23 = 12 x 1 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 487 and 916 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(58,23) = HCF(429,58) = HCF(487,429) = HCF(916,487) .

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

Step 1: Since 220 > 1, we apply the division lemma to 220 and 1, to get

220 = 1 x 220 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 220 is 1

Notice that 1 = HCF(220,1) .

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Frequently Asked Questions on HCF of 487, 916, 220 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 487, 916, 220?

Answer: HCF of 487, 916, 220 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 487, 916, 220 using Euclid's Algorithm?

Answer: For arbitrary numbers 487, 916, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.