Highest Common Factor of 557, 879 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 557, 879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 557, 879 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 557, 879 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 557, 879 is 1.

HCF(557, 879) = 1

HCF of 557, 879 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 557, 879 is 1.

Highest Common Factor of 557,879 using Euclid's algorithm

Highest Common Factor of 557,879 is 1

Step 1: Since 879 > 557, we apply the division lemma to 879 and 557, to get

879 = 557 x 1 + 322

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 322 and 557, to get

557 = 322 x 1 + 235

Step 3: We consider the new divisor 322 and the new remainder 235, and apply the division lemma to get

322 = 235 x 1 + 87

We consider the new divisor 235 and the new remainder 87,and apply the division lemma to get

235 = 87 x 2 + 61

We consider the new divisor 87 and the new remainder 61,and apply the division lemma to get

87 = 61 x 1 + 26

We consider the new divisor 61 and the new remainder 26,and apply the division lemma to get

61 = 26 x 2 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 879 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(61,26) = HCF(87,61) = HCF(235,87) = HCF(322,235) = HCF(557,322) = HCF(879,557) .

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Frequently Asked Questions on HCF of 557, 879 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 557, 879?

Answer: HCF of 557, 879 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 557, 879 using Euclid's Algorithm?

Answer: For arbitrary numbers 557, 879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.