Highest Common Factor of 1427, 9258 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 1427, 9258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1427, 9258 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 1427, 9258 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 1427, 9258 is 1.

HCF(1427, 9258) = 1

HCF of 1427, 9258 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 1427, 9258 is 1.

Highest Common Factor of 1427,9258 using Euclid's algorithm

Highest Common Factor of 1427,9258 is 1

Step 1: Since 9258 > 1427, we apply the division lemma to 9258 and 1427, to get

9258 = 1427 x 6 + 696

Step 2: Since the reminder 1427 ≠ 0, we apply division lemma to 696 and 1427, to get

1427 = 696 x 2 + 35

Step 3: We consider the new divisor 696 and the new remainder 35, and apply the division lemma to get

696 = 35 x 19 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1427 and 9258 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(696,35) = HCF(1427,696) = HCF(9258,1427) .

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Frequently Asked Questions on HCF of 1427, 9258 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 1427, 9258?

Answer: HCF of 1427, 9258 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1427, 9258 using Euclid's Algorithm?

Answer: For arbitrary numbers 1427, 9258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.