Highest Common Factor of 869, 542 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 869, 542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 869, 542 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 869, 542 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 869, 542 is 1.

HCF(869, 542) = 1

HCF of 869, 542 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 869, 542 is 1.

Highest Common Factor of 869,542 using Euclid's algorithm

Highest Common Factor of 869,542 is 1

Step 1: Since 869 > 542, we apply the division lemma to 869 and 542, to get

869 = 542 x 1 + 327

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 327 and 542, to get

542 = 327 x 1 + 215

Step 3: We consider the new divisor 327 and the new remainder 215, and apply the division lemma to get

327 = 215 x 1 + 112

We consider the new divisor 215 and the new remainder 112,and apply the division lemma to get

215 = 112 x 1 + 103

We consider the new divisor 112 and the new remainder 103,and apply the division lemma to get

112 = 103 x 1 + 9

We consider the new divisor 103 and the new remainder 9,and apply the division lemma to get

103 = 9 x 11 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 542 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(103,9) = HCF(112,103) = HCF(215,112) = HCF(327,215) = HCF(542,327) = HCF(869,542) .

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Frequently Asked Questions on HCF of 869, 542 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 869, 542?

Answer: HCF of 869, 542 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 869, 542 using Euclid's Algorithm?

Answer: For arbitrary numbers 869, 542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.