Highest Common Factor of 531, 849, 686 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 531, 849, 686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 531, 849, 686 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 531, 849, 686 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 531, 849, 686 is 1.

HCF(531, 849, 686) = 1

HCF of 531, 849, 686 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 531, 849, 686 is 1.

Highest Common Factor of 531,849,686 using Euclid's algorithm

Highest Common Factor of 531,849,686 is 1

Step 1: Since 849 > 531, we apply the division lemma to 849 and 531, to get

849 = 531 x 1 + 318

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 318 and 531, to get

531 = 318 x 1 + 213

Step 3: We consider the new divisor 318 and the new remainder 213, and apply the division lemma to get

318 = 213 x 1 + 105

We consider the new divisor 213 and the new remainder 105,and apply the division lemma to get

213 = 105 x 2 + 3

We consider the new divisor 105 and the new remainder 3,and apply the division lemma to get

105 = 3 x 35 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 531 and 849 is 3

Notice that 3 = HCF(105,3) = HCF(213,105) = HCF(318,213) = HCF(531,318) = HCF(849,531) .

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

Step 1: Since 686 > 3, we apply the division lemma to 686 and 3, to get

686 = 3 x 228 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 686 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(686,3) .

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Frequently Asked Questions on HCF of 531, 849, 686 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 531, 849, 686?

Answer: HCF of 531, 849, 686 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 531, 849, 686 using Euclid's Algorithm?

Answer: For arbitrary numbers 531, 849, 686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.