Highest Common Factor of 494, 915, 727 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 494, 915, 727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 494, 915, 727 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 494, 915, 727 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 494, 915, 727 is 1.

HCF(494, 915, 727) = 1

HCF of 494, 915, 727 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 494, 915, 727 is 1.

Highest Common Factor of 494,915,727 using Euclid's algorithm

Highest Common Factor of 494,915,727 is 1

Step 1: Since 915 > 494, we apply the division lemma to 915 and 494, to get

915 = 494 x 1 + 421

Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 421 and 494, to get

494 = 421 x 1 + 73

Step 3: We consider the new divisor 421 and the new remainder 73, and apply the division lemma to get

421 = 73 x 5 + 56

We consider the new divisor 73 and the new remainder 56,and apply the division lemma to get

73 = 56 x 1 + 17

We consider the new divisor 56 and the new remainder 17,and apply the division lemma to get

56 = 17 x 3 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 494 and 915 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(73,56) = HCF(421,73) = HCF(494,421) = HCF(915,494) .

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

Step 1: Since 727 > 1, we apply the division lemma to 727 and 1, to get

727 = 1 x 727 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 727 is 1

Notice that 1 = HCF(727,1) .

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Frequently Asked Questions on HCF of 494, 915, 727 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 494, 915, 727?

Answer: HCF of 494, 915, 727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 494, 915, 727 using Euclid's Algorithm?

Answer: For arbitrary numbers 494, 915, 727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.