Highest Common Factor of 852, 317, 26 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 852, 317, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 852, 317, 26 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 852, 317, 26 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 852, 317, 26 is 1.

HCF(852, 317, 26) = 1

HCF of 852, 317, 26 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 852, 317, 26 is 1.

Highest Common Factor of 852,317,26 using Euclid's algorithm

Highest Common Factor of 852,317,26 is 1

Step 1: Since 852 > 317, we apply the division lemma to 852 and 317, to get

852 = 317 x 2 + 218

Step 2: Since the reminder 317 ≠ 0, we apply division lemma to 218 and 317, to get

317 = 218 x 1 + 99

Step 3: We consider the new divisor 218 and the new remainder 99, and apply the division lemma to get

218 = 99 x 2 + 20

We consider the new divisor 99 and the new remainder 20,and apply the division lemma to get

99 = 20 x 4 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 852 and 317 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(99,20) = HCF(218,99) = HCF(317,218) = HCF(852,317) .

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

Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1

Notice that 1 = HCF(26,1) .

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Frequently Asked Questions on HCF of 852, 317, 26 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 852, 317, 26?

Answer: HCF of 852, 317, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 852, 317, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 852, 317, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.