Highest Common Factor of 779, 985, 163 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 779, 985, 163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 779, 985, 163 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 779, 985, 163 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 779, 985, 163 is 1.

HCF(779, 985, 163) = 1

HCF of 779, 985, 163 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 779, 985, 163 is 1.

Highest Common Factor of 779,985,163 using Euclid's algorithm

Highest Common Factor of 779,985,163 is 1

Step 1: Since 985 > 779, we apply the division lemma to 985 and 779, to get

985 = 779 x 1 + 206

Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 206 and 779, to get

779 = 206 x 3 + 161

Step 3: We consider the new divisor 206 and the new remainder 161, and apply the division lemma to get

206 = 161 x 1 + 45

We consider the new divisor 161 and the new remainder 45,and apply the division lemma to get

161 = 45 x 3 + 26

We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get

45 = 26 x 1 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 779 and 985 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(161,45) = HCF(206,161) = HCF(779,206) = HCF(985,779) .

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

Step 1: Since 163 > 1, we apply the division lemma to 163 and 1, to get

163 = 1 x 163 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 163 is 1

Notice that 1 = HCF(163,1) .

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Frequently Asked Questions on HCF of 779, 985, 163 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 779, 985, 163?

Answer: HCF of 779, 985, 163 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 779, 985, 163 using Euclid's Algorithm?

Answer: For arbitrary numbers 779, 985, 163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.