Highest Common Factor of 1293, 8286, 10427 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 1293, 8286, 10427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1293, 8286, 10427 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 1293, 8286, 10427 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 1293, 8286, 10427 is 1.

HCF(1293, 8286, 10427) = 1

HCF of 1293, 8286, 10427 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 1293, 8286, 10427 is 1.

Highest Common Factor of 1293,8286,10427 using Euclid's algorithm

Highest Common Factor of 1293,8286,10427 is 1

Step 1: Since 8286 > 1293, we apply the division lemma to 8286 and 1293, to get

8286 = 1293 x 6 + 528

Step 2: Since the reminder 1293 ≠ 0, we apply division lemma to 528 and 1293, to get

1293 = 528 x 2 + 237

Step 3: We consider the new divisor 528 and the new remainder 237, and apply the division lemma to get

528 = 237 x 2 + 54

We consider the new divisor 237 and the new remainder 54,and apply the division lemma to get

237 = 54 x 4 + 21

We consider the new divisor 54 and the new remainder 21,and apply the division lemma to get

54 = 21 x 2 + 12

We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get

21 = 12 x 1 + 9

We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get

12 = 9 x 1 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1293 and 8286 is 3

Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(54,21) = HCF(237,54) = HCF(528,237) = HCF(1293,528) = HCF(8286,1293) .

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

Step 1: Since 10427 > 3, we apply the division lemma to 10427 and 3, to get

10427 = 3 x 3475 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 10427 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(10427,3) .

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Frequently Asked Questions on HCF of 1293, 8286, 10427 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 1293, 8286, 10427?

Answer: HCF of 1293, 8286, 10427 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1293, 8286, 10427 using Euclid's Algorithm?

Answer: For arbitrary numbers 1293, 8286, 10427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.