Highest Common Factor of 927, 44687 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, 44687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 927, 44687 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, 44687 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, 44687 is 1.

HCF(927, 44687) = 1

HCF of 927, 44687 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, 44687 is 1.

Highest Common Factor of 927,44687 using Euclid's algorithm

Highest Common Factor of 927,44687 is 1

Step 1: Since 44687 > 927, we apply the division lemma to 44687 and 927, to get

44687 = 927 x 48 + 191

Step 2: Since the reminder 927 ≠ 0, we apply division lemma to 191 and 927, to get

927 = 191 x 4 + 163

Step 3: We consider the new divisor 191 and the new remainder 163, and apply the division lemma to get

191 = 163 x 1 + 28

We consider the new divisor 163 and the new remainder 28,and apply the division lemma to get

163 = 28 x 5 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 927 and 44687 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(163,28) = HCF(191,163) = HCF(927,191) = HCF(44687,927) .

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Frequently Asked Questions on HCF of 927, 44687 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, 44687?

Answer: HCF of 927, 44687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 927, 44687 using Euclid's Algorithm?

Answer: For arbitrary numbers 927, 44687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.