Highest Common Factor of 2480, 1341 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 2480, 1341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2480, 1341 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 2480, 1341 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 2480, 1341 is 1.

HCF(2480, 1341) = 1

HCF of 2480, 1341 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 2480, 1341 is 1.

Highest Common Factor of 2480,1341 using Euclid's algorithm

Highest Common Factor of 2480,1341 is 1

Step 1: Since 2480 > 1341, we apply the division lemma to 2480 and 1341, to get

2480 = 1341 x 1 + 1139

Step 2: Since the reminder 1341 ≠ 0, we apply division lemma to 1139 and 1341, to get

1341 = 1139 x 1 + 202

Step 3: We consider the new divisor 1139 and the new remainder 202, and apply the division lemma to get

1139 = 202 x 5 + 129

We consider the new divisor 202 and the new remainder 129,and apply the division lemma to get

202 = 129 x 1 + 73

We consider the new divisor 129 and the new remainder 73,and apply the division lemma to get

129 = 73 x 1 + 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 2480 and 1341 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(73,56) = HCF(129,73) = HCF(202,129) = HCF(1139,202) = HCF(1341,1139) = HCF(2480,1341) .

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Frequently Asked Questions on HCF of 2480, 1341 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 2480, 1341?

Answer: HCF of 2480, 1341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2480, 1341 using Euclid's Algorithm?

Answer: For arbitrary numbers 2480, 1341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.