Highest Common Factor of 361, 932, 138 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 361, 932, 138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 361, 932, 138 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 361, 932, 138 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 361, 932, 138 is 1.

HCF(361, 932, 138) = 1

HCF of 361, 932, 138 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 361, 932, 138 is 1.

Highest Common Factor of 361,932,138 using Euclid's algorithm

Highest Common Factor of 361,932,138 is 1

Step 1: Since 932 > 361, we apply the division lemma to 932 and 361, to get

932 = 361 x 2 + 210

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 210 and 361, to get

361 = 210 x 1 + 151

Step 3: We consider the new divisor 210 and the new remainder 151, and apply the division lemma to get

210 = 151 x 1 + 59

We consider the new divisor 151 and the new remainder 59,and apply the division lemma to get

151 = 59 x 2 + 33

We consider the new divisor 59 and the new remainder 33,and apply the division lemma to get

59 = 33 x 1 + 26

We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get

33 = 26 x 1 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

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 361 and 932 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(59,33) = HCF(151,59) = HCF(210,151) = HCF(361,210) = HCF(932,361) .

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

Step 1: Since 138 > 1, we apply the division lemma to 138 and 1, to get

138 = 1 x 138 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 138 is 1

Notice that 1 = HCF(138,1) .

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Frequently Asked Questions on HCF of 361, 932, 138 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 361, 932, 138?

Answer: HCF of 361, 932, 138 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 361, 932, 138 using Euclid's Algorithm?

Answer: For arbitrary numbers 361, 932, 138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.