Highest Common Factor of 617, 902, 270 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 617, 902, 270 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 617, 902, 270 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 617, 902, 270 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 617, 902, 270 is 1.

HCF(617, 902, 270) = 1

HCF of 617, 902, 270 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 617, 902, 270 is 1.

Highest Common Factor of 617,902,270 using Euclid's algorithm

Highest Common Factor of 617,902,270 is 1

Step 1: Since 902 > 617, we apply the division lemma to 902 and 617, to get

902 = 617 x 1 + 285

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 285 and 617, to get

617 = 285 x 2 + 47

Step 3: We consider the new divisor 285 and the new remainder 47, and apply the division lemma to get

285 = 47 x 6 + 3

We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get

47 = 3 x 15 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 617 and 902 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(285,47) = HCF(617,285) = HCF(902,617) .

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

Step 1: Since 270 > 1, we apply the division lemma to 270 and 1, to get

270 = 1 x 270 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 270 is 1

Notice that 1 = HCF(270,1) .

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Frequently Asked Questions on HCF of 617, 902, 270 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 617, 902, 270?

Answer: HCF of 617, 902, 270 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 617, 902, 270 using Euclid's Algorithm?

Answer: For arbitrary numbers 617, 902, 270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.