Highest Common Factor of 4072, 2445, 92681 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 4072, 2445, 92681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4072, 2445, 92681 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 4072, 2445, 92681 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 4072, 2445, 92681 is 1.

HCF(4072, 2445, 92681) = 1

HCF of 4072, 2445, 92681 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 4072, 2445, 92681 is 1.

Highest Common Factor of 4072,2445,92681 using Euclid's algorithm

Highest Common Factor of 4072,2445,92681 is 1

Step 1: Since 4072 > 2445, we apply the division lemma to 4072 and 2445, to get

4072 = 2445 x 1 + 1627

Step 2: Since the reminder 2445 ≠ 0, we apply division lemma to 1627 and 2445, to get

2445 = 1627 x 1 + 818

Step 3: We consider the new divisor 1627 and the new remainder 818, and apply the division lemma to get

1627 = 818 x 1 + 809

We consider the new divisor 818 and the new remainder 809,and apply the division lemma to get

818 = 809 x 1 + 9

We consider the new divisor 809 and the new remainder 9,and apply the division lemma to get

809 = 9 x 89 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4072 and 2445 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(809,9) = HCF(818,809) = HCF(1627,818) = HCF(2445,1627) = HCF(4072,2445) .

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

Step 1: Since 92681 > 1, we apply the division lemma to 92681 and 1, to get

92681 = 1 x 92681 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92681 is 1

Notice that 1 = HCF(92681,1) .

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Frequently Asked Questions on HCF of 4072, 2445, 92681 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 4072, 2445, 92681?

Answer: HCF of 4072, 2445, 92681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4072, 2445, 92681 using Euclid's Algorithm?

Answer: For arbitrary numbers 4072, 2445, 92681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.