Highest Common Factor of 5195, 2275, 71546 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 5195, 2275, 71546 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5195, 2275, 71546 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 5195, 2275, 71546 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 5195, 2275, 71546 is 1.

HCF(5195, 2275, 71546) = 1

HCF of 5195, 2275, 71546 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 5195, 2275, 71546 is 1.

Highest Common Factor of 5195,2275,71546 using Euclid's algorithm

Highest Common Factor of 5195,2275,71546 is 1

Step 1: Since 5195 > 2275, we apply the division lemma to 5195 and 2275, to get

5195 = 2275 x 2 + 645

Step 2: Since the reminder 2275 ≠ 0, we apply division lemma to 645 and 2275, to get

2275 = 645 x 3 + 340

Step 3: We consider the new divisor 645 and the new remainder 340, and apply the division lemma to get

645 = 340 x 1 + 305

We consider the new divisor 340 and the new remainder 305,and apply the division lemma to get

340 = 305 x 1 + 35

We consider the new divisor 305 and the new remainder 35,and apply the division lemma to get

305 = 35 x 8 + 25

We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get

35 = 25 x 1 + 10

We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get

25 = 10 x 2 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5195 and 2275 is 5

Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(305,35) = HCF(340,305) = HCF(645,340) = HCF(2275,645) = HCF(5195,2275) .

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

Step 1: Since 71546 > 5, we apply the division lemma to 71546 and 5, to get

71546 = 5 x 14309 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 71546 is 1

Notice that 1 = HCF(5,1) = HCF(71546,5) .

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Frequently Asked Questions on HCF of 5195, 2275, 71546 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 5195, 2275, 71546?

Answer: HCF of 5195, 2275, 71546 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5195, 2275, 71546 using Euclid's Algorithm?

Answer: For arbitrary numbers 5195, 2275, 71546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.