Highest Common Factor of 927, 328, 52 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 927, 328, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 927, 328, 52 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 927, 328, 52 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 927, 328, 52 is 1.

HCF(927, 328, 52) = 1

HCF of 927, 328, 52 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 927, 328, 52 is 1.

Highest Common Factor of 927,328,52 using Euclid's algorithm

Highest Common Factor of 927,328,52 is 1

Step 1: Since 927 > 328, we apply the division lemma to 927 and 328, to get

927 = 328 x 2 + 271

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 271 and 328, to get

328 = 271 x 1 + 57

Step 3: We consider the new divisor 271 and the new remainder 57, and apply the division lemma to get

271 = 57 x 4 + 43

We consider the new divisor 57 and the new remainder 43,and apply the division lemma to get

57 = 43 x 1 + 14

We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get

43 = 14 x 3 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 927 and 328 is 1

Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(57,43) = HCF(271,57) = HCF(328,271) = HCF(927,328) .

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

Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get

52 = 1 x 52 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1

Notice that 1 = HCF(52,1) .

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Frequently Asked Questions on HCF of 927, 328, 52 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 927, 328, 52?

Answer: HCF of 927, 328, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 927, 328, 52 using Euclid's Algorithm?

Answer: For arbitrary numbers 927, 328, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.