Highest Common Factor of 457, 279 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 457, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 457, 279 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 457, 279 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 457, 279 is 1.

HCF(457, 279) = 1

HCF of 457, 279 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 457, 279 is 1.

Highest Common Factor of 457,279 using Euclid's algorithm

Highest Common Factor of 457,279 is 1

Step 1: Since 457 > 279, we apply the division lemma to 457 and 279, to get

457 = 279 x 1 + 178

Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 178 and 279, to get

279 = 178 x 1 + 101

Step 3: We consider the new divisor 178 and the new remainder 101, and apply the division lemma to get

178 = 101 x 1 + 77

We consider the new divisor 101 and the new remainder 77,and apply the division lemma to get

101 = 77 x 1 + 24

We consider the new divisor 77 and the new remainder 24,and apply the division lemma to get

77 = 24 x 3 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma 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 457 and 279 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(77,24) = HCF(101,77) = HCF(178,101) = HCF(279,178) = HCF(457,279) .

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Frequently Asked Questions on HCF of 457, 279 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 457, 279?

Answer: HCF of 457, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 457, 279 using Euclid's Algorithm?

Answer: For arbitrary numbers 457, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.