Highest Common Factor of 9069, 7460 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 9069, 7460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9069, 7460 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 9069, 7460 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 9069, 7460 is 1.

HCF(9069, 7460) = 1

HCF of 9069, 7460 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9069, 7460 is 1.

Highest Common Factor of 9069,7460 using Euclid's algorithm

Highest Common Factor of 9069,7460 is 1

Step 1: Since 9069 > 7460, we apply the division lemma to 9069 and 7460, to get

9069 = 7460 x 1 + 1609

Step 2: Since the reminder 7460 ≠ 0, we apply division lemma to 1609 and 7460, to get

7460 = 1609 x 4 + 1024

Step 3: We consider the new divisor 1609 and the new remainder 1024, and apply the division lemma to get

1609 = 1024 x 1 + 585

We consider the new divisor 1024 and the new remainder 585,and apply the division lemma to get

1024 = 585 x 1 + 439

We consider the new divisor 585 and the new remainder 439,and apply the division lemma to get

585 = 439 x 1 + 146

We consider the new divisor 439 and the new remainder 146,and apply the division lemma to get

439 = 146 x 3 + 1

We consider the new divisor 146 and the new remainder 1,and apply the division lemma to get

146 = 1 x 146 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9069 and 7460 is 1

Notice that 1 = HCF(146,1) = HCF(439,146) = HCF(585,439) = HCF(1024,585) = HCF(1609,1024) = HCF(7460,1609) = HCF(9069,7460) .

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Frequently Asked Questions on HCF of 9069, 7460 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 9069, 7460?

Answer: HCF of 9069, 7460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9069, 7460 using Euclid's Algorithm?

Answer: For arbitrary numbers 9069, 7460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.