Highest Common Factor of 1927, 2737 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 1927, 2737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1927, 2737 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 1927, 2737 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 1927, 2737 is 1.

HCF(1927, 2737) = 1

HCF of 1927, 2737 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 1927, 2737 is 1.

Highest Common Factor of 1927,2737 using Euclid's algorithm

Highest Common Factor of 1927,2737 is 1

Step 1: Since 2737 > 1927, we apply the division lemma to 2737 and 1927, to get

2737 = 1927 x 1 + 810

Step 2: Since the reminder 1927 ≠ 0, we apply division lemma to 810 and 1927, to get

1927 = 810 x 2 + 307

Step 3: We consider the new divisor 810 and the new remainder 307, and apply the division lemma to get

810 = 307 x 2 + 196

We consider the new divisor 307 and the new remainder 196,and apply the division lemma to get

307 = 196 x 1 + 111

We consider the new divisor 196 and the new remainder 111,and apply the division lemma to get

196 = 111 x 1 + 85

We consider the new divisor 111 and the new remainder 85,and apply the division lemma to get

111 = 85 x 1 + 26

We consider the new divisor 85 and the new remainder 26,and apply the division lemma to get

85 = 26 x 3 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1927 and 2737 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(85,26) = HCF(111,85) = HCF(196,111) = HCF(307,196) = HCF(810,307) = HCF(1927,810) = HCF(2737,1927) .

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Frequently Asked Questions on HCF of 1927, 2737 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 1927, 2737?

Answer: HCF of 1927, 2737 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1927, 2737 using Euclid's Algorithm?

Answer: For arbitrary numbers 1927, 2737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.