Highest Common Factor of 451, 794 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 451, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 451, 794 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 451, 794 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 451, 794 is 1.

HCF(451, 794) = 1

HCF of 451, 794 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 451, 794 is 1.

Highest Common Factor of 451,794 using Euclid's algorithm

Highest Common Factor of 451,794 is 1

Step 1: Since 794 > 451, we apply the division lemma to 794 and 451, to get

794 = 451 x 1 + 343

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 343 and 451, to get

451 = 343 x 1 + 108

Step 3: We consider the new divisor 343 and the new remainder 108, and apply the division lemma to get

343 = 108 x 3 + 19

We consider the new divisor 108 and the new remainder 19,and apply the division lemma to get

108 = 19 x 5 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 451 and 794 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(108,19) = HCF(343,108) = HCF(451,343) = HCF(794,451) .

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Frequently Asked Questions on HCF of 451, 794 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 451, 794?

Answer: HCF of 451, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 451, 794 using Euclid's Algorithm?

Answer: For arbitrary numbers 451, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.