Highest Common Factor of 9145, 2853, 27470 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 9145, 2853, 27470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9145, 2853, 27470 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 9145, 2853, 27470 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 9145, 2853, 27470 is 1.

HCF(9145, 2853, 27470) = 1

HCF of 9145, 2853, 27470 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 9145, 2853, 27470 is 1.

Highest Common Factor of 9145,2853,27470 using Euclid's algorithm

Highest Common Factor of 9145,2853,27470 is 1

Step 1: Since 9145 > 2853, we apply the division lemma to 9145 and 2853, to get

9145 = 2853 x 3 + 586

Step 2: Since the reminder 2853 ≠ 0, we apply division lemma to 586 and 2853, to get

2853 = 586 x 4 + 509

Step 3: We consider the new divisor 586 and the new remainder 509, and apply the division lemma to get

586 = 509 x 1 + 77

We consider the new divisor 509 and the new remainder 77,and apply the division lemma to get

509 = 77 x 6 + 47

We consider the new divisor 77 and the new remainder 47,and apply the division lemma to get

77 = 47 x 1 + 30

We consider the new divisor 47 and the new remainder 30,and apply the division lemma to get

47 = 30 x 1 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9145 and 2853 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(77,47) = HCF(509,77) = HCF(586,509) = HCF(2853,586) = HCF(9145,2853) .

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

Step 1: Since 27470 > 1, we apply the division lemma to 27470 and 1, to get

27470 = 1 x 27470 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27470 is 1

Notice that 1 = HCF(27470,1) .

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Frequently Asked Questions on HCF of 9145, 2853, 27470 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 9145, 2853, 27470?

Answer: HCF of 9145, 2853, 27470 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9145, 2853, 27470 using Euclid's Algorithm?

Answer: For arbitrary numbers 9145, 2853, 27470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.