Highest Common Factor of 934, 516, 212, 81 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 934, 516, 212, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 934, 516, 212, 81 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 934, 516, 212, 81 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 934, 516, 212, 81 is 1.

HCF(934, 516, 212, 81) = 1

HCF of 934, 516, 212, 81 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 934, 516, 212, 81 is 1.

Highest Common Factor of 934,516,212,81 using Euclid's algorithm

Highest Common Factor of 934,516,212,81 is 1

Step 1: Since 934 > 516, we apply the division lemma to 934 and 516, to get

934 = 516 x 1 + 418

Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 418 and 516, to get

516 = 418 x 1 + 98

Step 3: We consider the new divisor 418 and the new remainder 98, and apply the division lemma to get

418 = 98 x 4 + 26

We consider the new divisor 98 and the new remainder 26,and apply the division lemma to get

98 = 26 x 3 + 20

We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get

26 = 20 x 1 + 6

We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get

20 = 6 x 3 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 934 and 516 is 2

Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(98,26) = HCF(418,98) = HCF(516,418) = HCF(934,516) .

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

Step 1: Since 212 > 2, we apply the division lemma to 212 and 2, to get

212 = 2 x 106 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 212 is 2

Notice that 2 = HCF(212,2) .

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

Step 1: Since 81 > 2, we apply the division lemma to 81 and 2, to get

81 = 2 x 40 + 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 81 is 1

Notice that 1 = HCF(2,1) = HCF(81,2) .

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Frequently Asked Questions on HCF of 934, 516, 212, 81 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 934, 516, 212, 81?

Answer: HCF of 934, 516, 212, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 934, 516, 212, 81 using Euclid's Algorithm?

Answer: For arbitrary numbers 934, 516, 212, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.