Highest Common Factor of 979, 624, 265 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, 624, 265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 979, 624, 265 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, 624, 265 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, 624, 265 is 1.

HCF(979, 624, 265) = 1

HCF of 979, 624, 265 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, 624, 265 is 1.

Highest Common Factor of 979,624,265 using Euclid's algorithm

Highest Common Factor of 979,624,265 is 1

Step 1: Since 979 > 624, we apply the division lemma to 979 and 624, to get

979 = 624 x 1 + 355

Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 355 and 624, to get

624 = 355 x 1 + 269

Step 3: We consider the new divisor 355 and the new remainder 269, and apply the division lemma to get

355 = 269 x 1 + 86

We consider the new divisor 269 and the new remainder 86,and apply the division lemma to get

269 = 86 x 3 + 11

We consider the new divisor 86 and the new remainder 11,and apply the division lemma to get

86 = 11 x 7 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 624 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(86,11) = HCF(269,86) = HCF(355,269) = HCF(624,355) = HCF(979,624) .

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

Step 1: Since 265 > 1, we apply the division lemma to 265 and 1, to get

265 = 1 x 265 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 265 is 1

Notice that 1 = HCF(265,1) .

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Frequently Asked Questions on HCF of 979, 624, 265 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, 624, 265?

Answer: HCF of 979, 624, 265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 979, 624, 265 using Euclid's Algorithm?

Answer: For arbitrary numbers 979, 624, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.