Highest Common Factor of 979, 592, 982 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 979, 592, 982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 979, 592, 982 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 979, 592, 982 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 979, 592, 982 is 1.

HCF(979, 592, 982) = 1

HCF of 979, 592, 982 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 979, 592, 982 is 1.

Highest Common Factor of 979,592,982 using Euclid's algorithm

Highest Common Factor of 979,592,982 is 1

Step 1: Since 979 > 592, we apply the division lemma to 979 and 592, to get

979 = 592 x 1 + 387

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 387 and 592, to get

592 = 387 x 1 + 205

Step 3: We consider the new divisor 387 and the new remainder 205, and apply the division lemma to get

387 = 205 x 1 + 182

We consider the new divisor 205 and the new remainder 182,and apply the division lemma to get

205 = 182 x 1 + 23

We consider the new divisor 182 and the new remainder 23,and apply the division lemma to get

182 = 23 x 7 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 979 and 592 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(182,23) = HCF(205,182) = HCF(387,205) = HCF(592,387) = HCF(979,592) .

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

Step 1: Since 982 > 1, we apply the division lemma to 982 and 1, to get

982 = 1 x 982 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 982 is 1

Notice that 1 = HCF(982,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 979, 592, 982 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 979, 592, 982?

Answer: HCF of 979, 592, 982 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 979, 592, 982 using Euclid's Algorithm?

Answer: For arbitrary numbers 979, 592, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.