Highest Common Factor of 256, 421, 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 256, 421, 879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 256, 421, 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 256, 421, 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 256, 421, 879 is 1.

HCF(256, 421, 879) = 1

HCF of 256, 421, 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 256, 421, 879 is 1.

Highest Common Factor of 256,421,879 using Euclid's algorithm

Highest Common Factor of 256,421,879 is 1

Step 1: Since 421 > 256, we apply the division lemma to 421 and 256, to get

421 = 256 x 1 + 165

Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 165 and 256, to get

256 = 165 x 1 + 91

Step 3: We consider the new divisor 165 and the new remainder 91, and apply the division lemma to get

165 = 91 x 1 + 74

We consider the new divisor 91 and the new remainder 74,and apply the division lemma to get

91 = 74 x 1 + 17

We consider the new divisor 74 and the new remainder 17,and apply the division lemma to get

74 = 17 x 4 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 256 and 421 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(74,17) = HCF(91,74) = HCF(165,91) = HCF(256,165) = HCF(421,256) .

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

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

879 = 1 x 879 + 0

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

Notice that 1 = HCF(879,1) .

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Frequently Asked Questions on HCF of 256, 421, 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 256, 421, 879?

Answer: HCF of 256, 421, 879 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 256, 421, 879 using Euclid's Algorithm?

Answer: For arbitrary numbers 256, 421, 879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.