Highest Common Factor of 305, 7579 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 305, 7579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 305, 7579 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 305, 7579 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 305, 7579 is 1.

HCF(305, 7579) = 1

HCF of 305, 7579 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 305, 7579 is 1.

Highest Common Factor of 305,7579 using Euclid's algorithm

Highest Common Factor of 305,7579 is 1

Step 1: Since 7579 > 305, we apply the division lemma to 7579 and 305, to get

7579 = 305 x 24 + 259

Step 2: Since the reminder 305 ≠ 0, we apply division lemma to 259 and 305, to get

305 = 259 x 1 + 46

Step 3: We consider the new divisor 259 and the new remainder 46, and apply the division lemma to get

259 = 46 x 5 + 29

We consider the new divisor 46 and the new remainder 29,and apply the division lemma to get

46 = 29 x 1 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 305 and 7579 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(46,29) = HCF(259,46) = HCF(305,259) = HCF(7579,305) .

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Frequently Asked Questions on HCF of 305, 7579 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 305, 7579?

Answer: HCF of 305, 7579 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 305, 7579 using Euclid's Algorithm?

Answer: For arbitrary numbers 305, 7579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.