Highest Common Factor of 279, 794, 386 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 279, 794, 386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 279, 794, 386 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 279, 794, 386 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 279, 794, 386 is 1.

HCF(279, 794, 386) = 1

HCF of 279, 794, 386 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 279, 794, 386 is 1.

Highest Common Factor of 279,794,386 using Euclid's algorithm

Highest Common Factor of 279,794,386 is 1

Step 1: Since 794 > 279, we apply the division lemma to 794 and 279, to get

794 = 279 x 2 + 236

Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 236 and 279, to get

279 = 236 x 1 + 43

Step 3: We consider the new divisor 236 and the new remainder 43, and apply the division lemma to get

236 = 43 x 5 + 21

We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get

43 = 21 x 2 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 279 and 794 is 1

Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(236,43) = HCF(279,236) = HCF(794,279) .

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

Step 1: Since 386 > 1, we apply the division lemma to 386 and 1, to get

386 = 1 x 386 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 386 is 1

Notice that 1 = HCF(386,1) .

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Frequently Asked Questions on HCF of 279, 794, 386 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 279, 794, 386?

Answer: HCF of 279, 794, 386 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 279, 794, 386 using Euclid's Algorithm?

Answer: For arbitrary numbers 279, 794, 386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.