Highest Common Factor of 7771, 1813, 94643 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 7771, 1813, 94643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7771, 1813, 94643 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 7771, 1813, 94643 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 7771, 1813, 94643 is 1.

HCF(7771, 1813, 94643) = 1

HCF of 7771, 1813, 94643 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 7771, 1813, 94643 is 1.

Highest Common Factor of 7771,1813,94643 using Euclid's algorithm

Highest Common Factor of 7771,1813,94643 is 1

Step 1: Since 7771 > 1813, we apply the division lemma to 7771 and 1813, to get

7771 = 1813 x 4 + 519

Step 2: Since the reminder 1813 ≠ 0, we apply division lemma to 519 and 1813, to get

1813 = 519 x 3 + 256

Step 3: We consider the new divisor 519 and the new remainder 256, and apply the division lemma to get

519 = 256 x 2 + 7

We consider the new divisor 256 and the new remainder 7,and apply the division lemma to get

256 = 7 x 36 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 7771 and 1813 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(256,7) = HCF(519,256) = HCF(1813,519) = HCF(7771,1813) .

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

Step 1: Since 94643 > 1, we apply the division lemma to 94643 and 1, to get

94643 = 1 x 94643 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94643 is 1

Notice that 1 = HCF(94643,1) .

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Frequently Asked Questions on HCF of 7771, 1813, 94643 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 7771, 1813, 94643?

Answer: HCF of 7771, 1813, 94643 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7771, 1813, 94643 using Euclid's Algorithm?

Answer: For arbitrary numbers 7771, 1813, 94643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.