Highest Common Factor of 458, 885, 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 458, 885, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 458, 885, 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 458, 885, 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 458, 885, 280 is 1.

HCF(458, 885, 280) = 1

HCF of 458, 885, 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 458, 885, 280 is 1.

Highest Common Factor of 458,885,280 using Euclid's algorithm

Highest Common Factor of 458,885,280 is 1

Step 1: Since 885 > 458, we apply the division lemma to 885 and 458, to get

885 = 458 x 1 + 427

Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 427 and 458, to get

458 = 427 x 1 + 31

Step 3: We consider the new divisor 427 and the new remainder 31, and apply the division lemma to get

427 = 31 x 13 + 24

We consider the new divisor 31 and the new remainder 24,and apply the division lemma to get

31 = 24 x 1 + 7

We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get

24 = 7 x 3 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 458 and 885 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(427,31) = HCF(458,427) = HCF(885,458) .

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

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

280 = 1 x 280 + 0

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

Notice that 1 = HCF(280,1) .

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Frequently Asked Questions on HCF of 458, 885, 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 458, 885, 280?

Answer: HCF of 458, 885, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 458, 885, 280 using Euclid's Algorithm?

Answer: For arbitrary numbers 458, 885, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.