Highest Common Factor of 778, 301, 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 778, 301, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 778, 301, 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 778, 301, 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 778, 301, 794 is 1.

HCF(778, 301, 794) = 1

HCF of 778, 301, 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 778, 301, 794 is 1.

Highest Common Factor of 778,301,794 using Euclid's algorithm

Highest Common Factor of 778,301,794 is 1

Step 1: Since 778 > 301, we apply the division lemma to 778 and 301, to get

778 = 301 x 2 + 176

Step 2: Since the reminder 301 ≠ 0, we apply division lemma to 176 and 301, to get

301 = 176 x 1 + 125

Step 3: We consider the new divisor 176 and the new remainder 125, and apply the division lemma to get

176 = 125 x 1 + 51

We consider the new divisor 125 and the new remainder 51,and apply the division lemma to get

125 = 51 x 2 + 23

We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get

51 = 23 x 2 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 778 and 301 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(125,51) = HCF(176,125) = HCF(301,176) = HCF(778,301) .

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

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

794 = 1 x 794 + 0

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

Notice that 1 = HCF(794,1) .

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Frequently Asked Questions on HCF of 778, 301, 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 778, 301, 794?

Answer: HCF of 778, 301, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 778, 301, 794 using Euclid's Algorithm?

Answer: For arbitrary numbers 778, 301, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.