Highest Common Factor of 717, 910, 455 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 717, 910, 455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 717, 910, 455 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 717, 910, 455 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 717, 910, 455 is 1.

HCF(717, 910, 455) = 1

HCF of 717, 910, 455 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 717, 910, 455 is 1.

Highest Common Factor of 717,910,455 using Euclid's algorithm

Highest Common Factor of 717,910,455 is 1

Step 1: Since 910 > 717, we apply the division lemma to 910 and 717, to get

910 = 717 x 1 + 193

Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 193 and 717, to get

717 = 193 x 3 + 138

Step 3: We consider the new divisor 193 and the new remainder 138, and apply the division lemma to get

193 = 138 x 1 + 55

We consider the new divisor 138 and the new remainder 55,and apply the division lemma to get

138 = 55 x 2 + 28

We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get

55 = 28 x 1 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 717 and 910 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(138,55) = HCF(193,138) = HCF(717,193) = HCF(910,717) .

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

Step 1: Since 455 > 1, we apply the division lemma to 455 and 1, to get

455 = 1 x 455 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 455 is 1

Notice that 1 = HCF(455,1) .

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Frequently Asked Questions on HCF of 717, 910, 455 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 717, 910, 455?

Answer: HCF of 717, 910, 455 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 717, 910, 455 using Euclid's Algorithm?

Answer: For arbitrary numbers 717, 910, 455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.