Highest Common Factor of 7430, 3001 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 7430, 3001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7430, 3001 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 7430, 3001 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 7430, 3001 is 1.

HCF(7430, 3001) = 1

HCF of 7430, 3001 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 7430, 3001 is 1.

Highest Common Factor of 7430,3001 using Euclid's algorithm

Highest Common Factor of 7430,3001 is 1

Step 1: Since 7430 > 3001, we apply the division lemma to 7430 and 3001, to get

7430 = 3001 x 2 + 1428

Step 2: Since the reminder 3001 ≠ 0, we apply division lemma to 1428 and 3001, to get

3001 = 1428 x 2 + 145

Step 3: We consider the new divisor 1428 and the new remainder 145, and apply the division lemma to get

1428 = 145 x 9 + 123

We consider the new divisor 145 and the new remainder 123,and apply the division lemma to get

145 = 123 x 1 + 22

We consider the new divisor 123 and the new remainder 22,and apply the division lemma to get

123 = 22 x 5 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7430 and 3001 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(123,22) = HCF(145,123) = HCF(1428,145) = HCF(3001,1428) = HCF(7430,3001) .

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Frequently Asked Questions on HCF of 7430, 3001 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 7430, 3001?

Answer: HCF of 7430, 3001 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7430, 3001 using Euclid's Algorithm?

Answer: For arbitrary numbers 7430, 3001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.