Highest Common Factor of 617, 726, 252, 405 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, 726, 252, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 617, 726, 252, 405 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, 726, 252, 405 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, 726, 252, 405 is 1.

HCF(617, 726, 252, 405) = 1

HCF of 617, 726, 252, 405 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, 726, 252, 405 is 1.

Highest Common Factor of 617,726,252,405 using Euclid's algorithm

Highest Common Factor of 617,726,252,405 is 1

Step 1: Since 726 > 617, we apply the division lemma to 726 and 617, to get

726 = 617 x 1 + 109

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 109 and 617, to get

617 = 109 x 5 + 72

Step 3: We consider the new divisor 109 and the new remainder 72, and apply the division lemma to get

109 = 72 x 1 + 37

We consider the new divisor 72 and the new remainder 37,and apply the division lemma to get

72 = 37 x 1 + 35

We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get

37 = 35 x 1 + 2

We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get

35 = 2 x 17 + 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 726 is 1

Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(72,37) = HCF(109,72) = HCF(617,109) = HCF(726,617) .

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

Step 1: Since 252 > 1, we apply the division lemma to 252 and 1, to get

252 = 1 x 252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 252 is 1

Notice that 1 = HCF(252,1) .

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

Step 1: Since 405 > 1, we apply the division lemma to 405 and 1, to get

405 = 1 x 405 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 405 is 1

Notice that 1 = HCF(405,1) .

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Frequently Asked Questions on HCF of 617, 726, 252, 405 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, 726, 252, 405?

Answer: HCF of 617, 726, 252, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 617, 726, 252, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 617, 726, 252, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.