Highest Common Factor of 927, 412, 544 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, 412, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 927, 412, 544 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, 412, 544 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, 412, 544 is 1.

HCF(927, 412, 544) = 1

HCF of 927, 412, 544 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, 412, 544 is 1.

Highest Common Factor of 927,412,544 using Euclid's algorithm

Highest Common Factor of 927,412,544 is 1

Step 1: Since 927 > 412, we apply the division lemma to 927 and 412, to get

927 = 412 x 2 + 103

Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 103 and 412, to get

412 = 103 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 103, the HCF of 927 and 412 is 103

Notice that 103 = HCF(412,103) = HCF(927,412) .

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

Step 1: Since 544 > 103, we apply the division lemma to 544 and 103, to get

544 = 103 x 5 + 29

Step 2: Since the reminder 103 ≠ 0, we apply division lemma to 29 and 103, to get

103 = 29 x 3 + 16

Step 3: We consider the new divisor 29 and the new remainder 16, and apply the division lemma to get

29 = 16 x 1 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 103 and 544 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(103,29) = HCF(544,103) .

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Frequently Asked Questions on HCF of 927, 412, 544 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, 412, 544?

Answer: HCF of 927, 412, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 927, 412, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 927, 412, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.