Highest Common Factor of 615, 857, 984 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 615, 857, 984 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 615, 857, 984 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 615, 857, 984 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 615, 857, 984 is 1.

HCF(615, 857, 984) = 1

HCF of 615, 857, 984 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 615, 857, 984 is 1.

Highest Common Factor of 615,857,984 using Euclid's algorithm

Highest Common Factor of 615,857,984 is 1

Step 1: Since 857 > 615, we apply the division lemma to 857 and 615, to get

857 = 615 x 1 + 242

Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 242 and 615, to get

615 = 242 x 2 + 131

Step 3: We consider the new divisor 242 and the new remainder 131, and apply the division lemma to get

242 = 131 x 1 + 111

We consider the new divisor 131 and the new remainder 111,and apply the division lemma to get

131 = 111 x 1 + 20

We consider the new divisor 111 and the new remainder 20,and apply the division lemma to get

111 = 20 x 5 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 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 615 and 857 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(111,20) = HCF(131,111) = HCF(242,131) = HCF(615,242) = HCF(857,615) .

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

Step 1: Since 984 > 1, we apply the division lemma to 984 and 1, to get

984 = 1 x 984 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 984 is 1

Notice that 1 = HCF(984,1) .

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Frequently Asked Questions on HCF of 615, 857, 984 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 615, 857, 984?

Answer: HCF of 615, 857, 984 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 615, 857, 984 using Euclid's Algorithm?

Answer: For arbitrary numbers 615, 857, 984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.