Highest Common Factor of 853, 8759 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 853, 8759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 853, 8759 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 853, 8759 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 853, 8759 is 1.

HCF(853, 8759) = 1

HCF of 853, 8759 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 853, 8759 is 1.

Highest Common Factor of 853,8759 using Euclid's algorithm

Highest Common Factor of 853,8759 is 1

Step 1: Since 8759 > 853, we apply the division lemma to 8759 and 853, to get

8759 = 853 x 10 + 229

Step 2: Since the reminder 853 ≠ 0, we apply division lemma to 229 and 853, to get

853 = 229 x 3 + 166

Step 3: We consider the new divisor 229 and the new remainder 166, and apply the division lemma to get

229 = 166 x 1 + 63

We consider the new divisor 166 and the new remainder 63,and apply the division lemma to get

166 = 63 x 2 + 40

We consider the new divisor 63 and the new remainder 40,and apply the division lemma to get

63 = 40 x 1 + 23

We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get

40 = 23 x 1 + 17

We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get

23 = 17 x 1 + 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 853 and 8759 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(63,40) = HCF(166,63) = HCF(229,166) = HCF(853,229) = HCF(8759,853) .

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Frequently Asked Questions on HCF of 853, 8759 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 853, 8759?

Answer: HCF of 853, 8759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 853, 8759 using Euclid's Algorithm?

Answer: For arbitrary numbers 853, 8759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.