Highest Common Factor of 9410, 2519 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 9410, 2519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9410, 2519 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 9410, 2519 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 9410, 2519 is 1.

HCF(9410, 2519) = 1

HCF of 9410, 2519 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 9410, 2519 is 1.

Highest Common Factor of 9410,2519 using Euclid's algorithm

Highest Common Factor of 9410,2519 is 1

Step 1: Since 9410 > 2519, we apply the division lemma to 9410 and 2519, to get

9410 = 2519 x 3 + 1853

Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 1853 and 2519, to get

2519 = 1853 x 1 + 666

Step 3: We consider the new divisor 1853 and the new remainder 666, and apply the division lemma to get

1853 = 666 x 2 + 521

We consider the new divisor 666 and the new remainder 521,and apply the division lemma to get

666 = 521 x 1 + 145

We consider the new divisor 521 and the new remainder 145,and apply the division lemma to get

521 = 145 x 3 + 86

We consider the new divisor 145 and the new remainder 86,and apply the division lemma to get

145 = 86 x 1 + 59

We consider the new divisor 86 and the new remainder 59,and apply the division lemma to get

86 = 59 x 1 + 27

We consider the new divisor 59 and the new remainder 27,and apply the division lemma to get

59 = 27 x 2 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 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 9410 and 2519 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(59,27) = HCF(86,59) = HCF(145,86) = HCF(521,145) = HCF(666,521) = HCF(1853,666) = HCF(2519,1853) = HCF(9410,2519) .

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Frequently Asked Questions on HCF of 9410, 2519 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 9410, 2519?

Answer: HCF of 9410, 2519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9410, 2519 using Euclid's Algorithm?

Answer: For arbitrary numbers 9410, 2519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.