Highest Common Factor of 2893, 7686 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 2893, 7686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2893, 7686 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 2893, 7686 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 2893, 7686 is 1.

HCF(2893, 7686) = 1

HCF of 2893, 7686 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 2893, 7686 is 1.

Highest Common Factor of 2893,7686 using Euclid's algorithm

Highest Common Factor of 2893,7686 is 1

Step 1: Since 7686 > 2893, we apply the division lemma to 7686 and 2893, to get

7686 = 2893 x 2 + 1900

Step 2: Since the reminder 2893 ≠ 0, we apply division lemma to 1900 and 2893, to get

2893 = 1900 x 1 + 993

Step 3: We consider the new divisor 1900 and the new remainder 993, and apply the division lemma to get

1900 = 993 x 1 + 907

We consider the new divisor 993 and the new remainder 907,and apply the division lemma to get

993 = 907 x 1 + 86

We consider the new divisor 907 and the new remainder 86,and apply the division lemma to get

907 = 86 x 10 + 47

We consider the new divisor 86 and the new remainder 47,and apply the division lemma to get

86 = 47 x 1 + 39

We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get

47 = 39 x 1 + 8

We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get

39 = 8 x 4 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2893 and 7686 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(86,47) = HCF(907,86) = HCF(993,907) = HCF(1900,993) = HCF(2893,1900) = HCF(7686,2893) .

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Frequently Asked Questions on HCF of 2893, 7686 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 2893, 7686?

Answer: HCF of 2893, 7686 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2893, 7686 using Euclid's Algorithm?

Answer: For arbitrary numbers 2893, 7686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.