Highest Common Factor of 247, 872, 709 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 247, 872, 709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 247, 872, 709 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 247, 872, 709 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 247, 872, 709 is 1.

HCF(247, 872, 709) = 1

HCF of 247, 872, 709 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 247, 872, 709 is 1.

Highest Common Factor of 247,872,709 using Euclid's algorithm

Highest Common Factor of 247,872,709 is 1

Step 1: Since 872 > 247, we apply the division lemma to 872 and 247, to get

872 = 247 x 3 + 131

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 131 and 247, to get

247 = 131 x 1 + 116

Step 3: We consider the new divisor 131 and the new remainder 116, and apply the division lemma to get

131 = 116 x 1 + 15

We consider the new divisor 116 and the new remainder 15,and apply the division lemma to get

116 = 15 x 7 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 247 and 872 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(116,15) = HCF(131,116) = HCF(247,131) = HCF(872,247) .

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

Step 1: Since 709 > 1, we apply the division lemma to 709 and 1, to get

709 = 1 x 709 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 709 is 1

Notice that 1 = HCF(709,1) .

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Frequently Asked Questions on HCF of 247, 872, 709 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 247, 872, 709?

Answer: HCF of 247, 872, 709 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 247, 872, 709 using Euclid's Algorithm?

Answer: For arbitrary numbers 247, 872, 709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.