Highest Common Factor of 165, 316, 941 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 165, 316, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 165, 316, 941 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 165, 316, 941 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 165, 316, 941 is 1.

HCF(165, 316, 941) = 1

HCF of 165, 316, 941 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 165, 316, 941 is 1.

Highest Common Factor of 165,316,941 using Euclid's algorithm

Highest Common Factor of 165,316,941 is 1

Step 1: Since 316 > 165, we apply the division lemma to 316 and 165, to get

316 = 165 x 1 + 151

Step 2: Since the reminder 165 ≠ 0, we apply division lemma to 151 and 165, to get

165 = 151 x 1 + 14

Step 3: We consider the new divisor 151 and the new remainder 14, and apply the division lemma to get

151 = 14 x 10 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 165 and 316 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(151,14) = HCF(165,151) = HCF(316,165) .

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

Step 1: Since 941 > 1, we apply the division lemma to 941 and 1, to get

941 = 1 x 941 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 941 is 1

Notice that 1 = HCF(941,1) .

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Frequently Asked Questions on HCF of 165, 316, 941 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 165, 316, 941?

Answer: HCF of 165, 316, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 165, 316, 941 using Euclid's Algorithm?

Answer: For arbitrary numbers 165, 316, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.