Highest Common Factor of 794, 2651, 6602 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 794, 2651, 6602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 794, 2651, 6602 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 794, 2651, 6602 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 794, 2651, 6602 is 1.

HCF(794, 2651, 6602) = 1

HCF of 794, 2651, 6602 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 794, 2651, 6602 is 1.

Highest Common Factor of 794,2651,6602 using Euclid's algorithm

Highest Common Factor of 794,2651,6602 is 1

Step 1: Since 2651 > 794, we apply the division lemma to 2651 and 794, to get

2651 = 794 x 3 + 269

Step 2: Since the reminder 794 ≠ 0, we apply division lemma to 269 and 794, to get

794 = 269 x 2 + 256

Step 3: We consider the new divisor 269 and the new remainder 256, and apply the division lemma to get

269 = 256 x 1 + 13

We consider the new divisor 256 and the new remainder 13,and apply the division lemma to get

256 = 13 x 19 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 794 and 2651 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(256,13) = HCF(269,256) = HCF(794,269) = HCF(2651,794) .

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

Step 1: Since 6602 > 1, we apply the division lemma to 6602 and 1, to get

6602 = 1 x 6602 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6602 is 1

Notice that 1 = HCF(6602,1) .

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Frequently Asked Questions on HCF of 794, 2651, 6602 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 794, 2651, 6602?

Answer: HCF of 794, 2651, 6602 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 794, 2651, 6602 using Euclid's Algorithm?

Answer: For arbitrary numbers 794, 2651, 6602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.