Highest Common Factor of 1295, 9823, 51163 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 1295, 9823, 51163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1295, 9823, 51163 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 1295, 9823, 51163 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 1295, 9823, 51163 is 1.

HCF(1295, 9823, 51163) = 1

HCF of 1295, 9823, 51163 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 1295, 9823, 51163 is 1.

Highest Common Factor of 1295,9823,51163 using Euclid's algorithm

Highest Common Factor of 1295,9823,51163 is 1

Step 1: Since 9823 > 1295, we apply the division lemma to 9823 and 1295, to get

9823 = 1295 x 7 + 758

Step 2: Since the reminder 1295 ≠ 0, we apply division lemma to 758 and 1295, to get

1295 = 758 x 1 + 537

Step 3: We consider the new divisor 758 and the new remainder 537, and apply the division lemma to get

758 = 537 x 1 + 221

We consider the new divisor 537 and the new remainder 221,and apply the division lemma to get

537 = 221 x 2 + 95

We consider the new divisor 221 and the new remainder 95,and apply the division lemma to get

221 = 95 x 2 + 31

We consider the new divisor 95 and the new remainder 31,and apply the division lemma to get

95 = 31 x 3 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 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 1295 and 9823 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(95,31) = HCF(221,95) = HCF(537,221) = HCF(758,537) = HCF(1295,758) = HCF(9823,1295) .

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

Step 1: Since 51163 > 1, we apply the division lemma to 51163 and 1, to get

51163 = 1 x 51163 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 51163 is 1

Notice that 1 = HCF(51163,1) .

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Frequently Asked Questions on HCF of 1295, 9823, 51163 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 1295, 9823, 51163?

Answer: HCF of 1295, 9823, 51163 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1295, 9823, 51163 using Euclid's Algorithm?

Answer: For arbitrary numbers 1295, 9823, 51163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.