Highest Common Factor of 938, 370, 629 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, 370, 629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 938, 370, 629 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, 370, 629 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, 370, 629 is 1.

HCF(938, 370, 629) = 1

HCF of 938, 370, 629 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, 370, 629 is 1.

Highest Common Factor of 938,370,629 using Euclid's algorithm

Highest Common Factor of 938,370,629 is 1

Step 1: Since 938 > 370, we apply the division lemma to 938 and 370, to get

938 = 370 x 2 + 198

Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 198 and 370, to get

370 = 198 x 1 + 172

Step 3: We consider the new divisor 198 and the new remainder 172, and apply the division lemma to get

198 = 172 x 1 + 26

We consider the new divisor 172 and the new remainder 26,and apply the division lemma to get

172 = 26 x 6 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 938 and 370 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(172,26) = HCF(198,172) = HCF(370,198) = HCF(938,370) .

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

Step 1: Since 629 > 2, we apply the division lemma to 629 and 2, to get

629 = 2 x 314 + 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 629 is 1

Notice that 1 = HCF(2,1) = HCF(629,2) .

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Frequently Asked Questions on HCF of 938, 370, 629 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, 370, 629?

Answer: HCF of 938, 370, 629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 938, 370, 629 using Euclid's Algorithm?

Answer: For arbitrary numbers 938, 370, 629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.