Highest Common Factor of 979, 632, 602 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, 632, 602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 979, 632, 602 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, 632, 602 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, 632, 602 is 1.

HCF(979, 632, 602) = 1

HCF of 979, 632, 602 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, 632, 602 is 1.

Highest Common Factor of 979,632,602 using Euclid's algorithm

Highest Common Factor of 979,632,602 is 1

Step 1: Since 979 > 632, we apply the division lemma to 979 and 632, to get

979 = 632 x 1 + 347

Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 347 and 632, to get

632 = 347 x 1 + 285

Step 3: We consider the new divisor 347 and the new remainder 285, and apply the division lemma to get

347 = 285 x 1 + 62

We consider the new divisor 285 and the new remainder 62,and apply the division lemma to get

285 = 62 x 4 + 37

We consider the new divisor 62 and the new remainder 37,and apply the division lemma to get

62 = 37 x 1 + 25

We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get

37 = 25 x 1 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 632 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(62,37) = HCF(285,62) = HCF(347,285) = HCF(632,347) = HCF(979,632) .

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

Step 1: Since 602 > 1, we apply the division lemma to 602 and 1, to get

602 = 1 x 602 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 602 is 1

Notice that 1 = HCF(602,1) .

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Frequently Asked Questions on HCF of 979, 632, 602 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, 632, 602?

Answer: HCF of 979, 632, 602 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 979, 632, 602 using Euclid's Algorithm?

Answer: For arbitrary numbers 979, 632, 602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.