Highest Common Factor of 560, 853 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 560, 853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 560, 853 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 560, 853 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 560, 853 is 1.

HCF(560, 853) = 1

HCF of 560, 853 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 560, 853 is 1.

Highest Common Factor of 560,853 using Euclid's algorithm

Highest Common Factor of 560,853 is 1

Step 1: Since 853 > 560, we apply the division lemma to 853 and 560, to get

853 = 560 x 1 + 293

Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 293 and 560, to get

560 = 293 x 1 + 267

Step 3: We consider the new divisor 293 and the new remainder 267, and apply the division lemma to get

293 = 267 x 1 + 26

We consider the new divisor 267 and the new remainder 26,and apply the division lemma to get

267 = 26 x 10 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 560 and 853 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(267,26) = HCF(293,267) = HCF(560,293) = HCF(853,560) .

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Frequently Asked Questions on HCF of 560, 853 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 560, 853?

Answer: HCF of 560, 853 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 560, 853 using Euclid's Algorithm?

Answer: For arbitrary numbers 560, 853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.