Highest Common Factor of 117, 325, 859 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 117, 325, 859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 117, 325, 859 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 117, 325, 859 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 117, 325, 859 is 1.

HCF(117, 325, 859) = 1

HCF of 117, 325, 859 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 117, 325, 859 is 1.

Highest Common Factor of 117,325,859 using Euclid's algorithm

Highest Common Factor of 117,325,859 is 1

Step 1: Since 325 > 117, we apply the division lemma to 325 and 117, to get

325 = 117 x 2 + 91

Step 2: Since the reminder 117 ≠ 0, we apply division lemma to 91 and 117, to get

117 = 91 x 1 + 26

Step 3: We consider the new divisor 91 and the new remainder 26, and apply the division lemma to get

91 = 26 x 3 + 13

We consider the new divisor 26 and the new remainder 13, and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 117 and 325 is 13

Notice that 13 = HCF(26,13) = HCF(91,26) = HCF(117,91) = HCF(325,117) .

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

Step 1: Since 859 > 13, we apply the division lemma to 859 and 13, to get

859 = 13 x 66 + 1

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 1 and 13, to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 859 is 1

Notice that 1 = HCF(13,1) = HCF(859,13) .

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Frequently Asked Questions on HCF of 117, 325, 859 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 117, 325, 859?

Answer: HCF of 117, 325, 859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 117, 325, 859 using Euclid's Algorithm?

Answer: For arbitrary numbers 117, 325, 859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.