Highest Common Factor of 938, 681, 453 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 938, 681, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 938, 681, 453 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 938, 681, 453 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 938, 681, 453 is 1.

HCF(938, 681, 453) = 1

HCF of 938, 681, 453 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 938, 681, 453 is 1.

Highest Common Factor of 938,681,453 using Euclid's algorithm

Highest Common Factor of 938,681,453 is 1

Step 1: Since 938 > 681, we apply the division lemma to 938 and 681, to get

938 = 681 x 1 + 257

Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 257 and 681, to get

681 = 257 x 2 + 167

Step 3: We consider the new divisor 257 and the new remainder 167, and apply the division lemma to get

257 = 167 x 1 + 90

We consider the new divisor 167 and the new remainder 90,and apply the division lemma to get

167 = 90 x 1 + 77

We consider the new divisor 90 and the new remainder 77,and apply the division lemma to get

90 = 77 x 1 + 13

We consider the new divisor 77 and the new remainder 13,and apply the division lemma to get

77 = 13 x 5 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 938 and 681 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(77,13) = HCF(90,77) = HCF(167,90) = HCF(257,167) = HCF(681,257) = HCF(938,681) .

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

Step 1: Since 453 > 1, we apply the division lemma to 453 and 1, to get

453 = 1 x 453 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 453 is 1

Notice that 1 = HCF(453,1) .

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Frequently Asked Questions on HCF of 938, 681, 453 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 938, 681, 453?

Answer: HCF of 938, 681, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 938, 681, 453 using Euclid's Algorithm?

Answer: For arbitrary numbers 938, 681, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.