How to Find GCF of 5113/382, 9531/2426?

GCF of 5113/382, 9531/2426

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5113/382, 9531/2426 i.e 1/463366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5113/382, 9531/2426.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5113/382,9531/2426?

Given fractions are 5113/382,9531/2426

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5113/382,9531/2426, numerators are 5113,9531

Denominators are 382,2426

The GCF of 5113,9531 is 1 .

LCM of 382,2426 is 463366.

The greatest common factor of 5113/382,9531/2426 = [GCF of 5113,9531]/[LCM of 382,2426]= 1/463366

Therefore, the GCF of 5113/382,9531/2426 is 1/463366.

Greatest Common Factor of 5113,9531

To find the highest common factor of 5113,9531, we have to find the factors of both numbers and list the highest common factor.

The factors of 5113 are 1, 5113

The factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531

The HCF of 5113,9531 is 1.

Lets's calculate GCF of 5113,9531

Greatest Common Factor (GCF) of 5113,9531 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5113,9531 By Matching Biggest Common Factor Method

Now, list down the factors of 5113

1,5113

Now, list down the factors of 9531

1,3,9,27,353,1059,3177,9531

Greatest Common Factor

We found the factors 5113,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 5113,9531 is 1.

Lets's calculate LCM of 382,2426

Lowest Common Multiple of 382,2426 using Common Division

2	382, 2426
	191, 1213

∴ So the LCM of the given numbers is 2 x 191 x 1213 = 463366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463366

Therefore, the GCF of Fractions 5113/382,9531/2426 is 1/463366

Least Common Multiple of 382,2426 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 382,2426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,2426) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(382,2426) x common factors =2 x 1 = 2

LCM(382,2426) = ( 382 × 2426 ) / 2

LCM(382,2426) = 926732 / 2

LCM(382,2426) = 463366

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FAQs on GCF of Fractions of 5113/382, 9531/2426

1. What is the HCF of 5113,9531?

The HCF of 5113,9531 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5113/382, 9531/2426?

Answer: GCF of Numerators as per given numbers 5113/382, 9531/2426 is

GCF of Numerators i.e. for 5113,9531 is 1

LCM of denominators i.e. for 382,2426 is 463366.

Thus, GCF of Fractions is 1/463366.Finally, GCF of Fractions for 5113/382, 9531/2426 is 1/463366.