Highest Common Factor of 327, 41 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 327, 41 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 327, 41 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 327, 41 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 327, 41 is 1.

HCF(327, 41) = 1

HCF of 327, 41 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 327, 41 is 1.

Highest Common Factor of 327,41 using Euclid's algorithm

Highest Common Factor of 327,41 is 1

Step 1: Since 327 > 41, we apply the division lemma to 327 and 41, to get

327 = 41 x 7 + 40

Step 2: Since the reminder 41 ≠ 0, we apply division lemma to 40 and 41, to get

41 = 40 x 1 + 1

Step 3: We consider the new divisor 40 and the new remainder 1, and apply the division lemma to get

40 = 1 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 327 and 41 is 1

Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(327,41) .

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Frequently Asked Questions on HCF of 327, 41 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 327, 41?

Answer: HCF of 327, 41 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 327, 41 using Euclid's Algorithm?

Answer: For arbitrary numbers 327, 41 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.