Highest Common Factor of 601, 857, 315 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 601, 857, 315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 601, 857, 315 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 601, 857, 315 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 601, 857, 315 is 1.

HCF(601, 857, 315) = 1

HCF of 601, 857, 315 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 601, 857, 315 is 1.

Highest Common Factor of 601,857,315 using Euclid's algorithm

Highest Common Factor of 601,857,315 is 1

Step 1: Since 857 > 601, we apply the division lemma to 857 and 601, to get

857 = 601 x 1 + 256

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 256 and 601, to get

601 = 256 x 2 + 89

Step 3: We consider the new divisor 256 and the new remainder 89, and apply the division lemma to get

256 = 89 x 2 + 78

We consider the new divisor 89 and the new remainder 78,and apply the division lemma to get

89 = 78 x 1 + 11

We consider the new divisor 78 and the new remainder 11,and apply the division lemma to get

78 = 11 x 7 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 857 is 1

Notice that 1 = HCF(11,1) = HCF(78,11) = HCF(89,78) = HCF(256,89) = HCF(601,256) = HCF(857,601) .

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

Step 1: Since 315 > 1, we apply the division lemma to 315 and 1, to get

315 = 1 x 315 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 315 is 1

Notice that 1 = HCF(315,1) .

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Frequently Asked Questions on HCF of 601, 857, 315 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 601, 857, 315?

Answer: HCF of 601, 857, 315 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 601, 857, 315 using Euclid's Algorithm?

Answer: For arbitrary numbers 601, 857, 315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.