Highest Common Factor of 861, 260, 455 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 861, 260, 455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 861, 260, 455 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 861, 260, 455 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 861, 260, 455 is 1.

HCF(861, 260, 455) = 1

HCF of 861, 260, 455 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 861, 260, 455 is 1.

Highest Common Factor of 861,260,455 using Euclid's algorithm

Highest Common Factor of 861,260,455 is 1

Step 1: Since 861 > 260, we apply the division lemma to 861 and 260, to get

861 = 260 x 3 + 81

Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 81 and 260, to get

260 = 81 x 3 + 17

Step 3: We consider the new divisor 81 and the new remainder 17, and apply the division lemma to get

81 = 17 x 4 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 861 and 260 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(81,17) = HCF(260,81) = HCF(861,260) .

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

Step 1: Since 455 > 1, we apply the division lemma to 455 and 1, to get

455 = 1 x 455 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 455 is 1

Notice that 1 = HCF(455,1) .

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Frequently Asked Questions on HCF of 861, 260, 455 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 861, 260, 455?

Answer: HCF of 861, 260, 455 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 861, 260, 455 using Euclid's Algorithm?

Answer: For arbitrary numbers 861, 260, 455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.