Highest Common Factor of 196, 362, 531 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 196, 362, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 196, 362, 531 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 196, 362, 531 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 196, 362, 531 is 1.

HCF(196, 362, 531) = 1

HCF of 196, 362, 531 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 196, 362, 531 is 1.

Highest Common Factor of 196,362,531 using Euclid's algorithm

Highest Common Factor of 196,362,531 is 1

Step 1: Since 362 > 196, we apply the division lemma to 362 and 196, to get

362 = 196 x 1 + 166

Step 2: Since the reminder 196 ≠ 0, we apply division lemma to 166 and 196, to get

196 = 166 x 1 + 30

Step 3: We consider the new divisor 166 and the new remainder 30, and apply the division lemma to get

166 = 30 x 5 + 16

We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get

30 = 16 x 1 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 196 and 362 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(166,30) = HCF(196,166) = HCF(362,196) .

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

Step 1: Since 531 > 2, we apply the division lemma to 531 and 2, to get

531 = 2 x 265 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 531 is 1

Notice that 1 = HCF(2,1) = HCF(531,2) .

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Frequently Asked Questions on HCF of 196, 362, 531 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 196, 362, 531?

Answer: HCF of 196, 362, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 196, 362, 531 using Euclid's Algorithm?

Answer: For arbitrary numbers 196, 362, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.