Highest Common Factor of 247, 377, 180 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, 377, 180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 247, 377, 180 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, 377, 180 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, 377, 180 is 1.

HCF(247, 377, 180) = 1

HCF of 247, 377, 180 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 247, 377, 180 is 1.

Highest Common Factor of 247,377,180 using Euclid's algorithm

Highest Common Factor of 247,377,180 is 1

Step 1: Since 377 > 247, we apply the division lemma to 377 and 247, to get

377 = 247 x 1 + 130

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 130 and 247, to get

247 = 130 x 1 + 117

Step 3: We consider the new divisor 130 and the new remainder 117, and apply the division lemma to get

130 = 117 x 1 + 13

We consider the new divisor 117 and the new remainder 13, and apply the division lemma to get

117 = 13 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 247 and 377 is 13

Notice that 13 = HCF(117,13) = HCF(130,117) = HCF(247,130) = HCF(377,247) .

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

Step 1: Since 180 > 13, we apply the division lemma to 180 and 13, to get

180 = 13 x 13 + 11

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get

13 = 11 x 1 + 2

Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get

11 = 2 x 5 + 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 13 and 180 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(180,13) .

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Frequently Asked Questions on HCF of 247, 377, 180 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, 377, 180?

Answer: HCF of 247, 377, 180 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 247, 377, 180 using Euclid's Algorithm?

Answer: For arbitrary numbers 247, 377, 180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.