Greatest Common Factor of 9301/546, 8758/8462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9301/546, 8758/8462

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 9301/546,8758/8462

Given fractions are 9301/546,8758/8462

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9301,8758

Greatest Common Factor of Numerators i.e. GCF of 9301,8758 is 1 .

LCM of Denominators means LCM of 546,8462 as per the given fractions.

LCM of 546,8462 is 2310126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9301,8758

GCF of Fractions 9301/546,8758/8462 is 1/2310126

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

Greatest Common Factor of 9301,8758 By Matching Biggest Common Factor Method

Greatest Common Factor of 9301,8758 By Matching Biggest Common Factor Method

Factors of 9301

List of positive integer factors of 9301 that divides 9301 without a remainder.

1,71,131,9301

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1,2,29,58,151,302,4379,8758

Greatest Common Factor

We found the factors 9301,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 9301,8758 is 1.

Lets's calculate LCM of 546,8462

2 546, 8462
273, 4231

∴ So the LCM of the given numbers is 2 x 273 x 4231 = 2310126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310126

Therefore, the GCF of Fractions 9301/546,8758/8462 is 1/2310126

Least Common Multiple of 546,8462 with GCF Formula

Least Common Multiple of 546,8462 with GCF Formula

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

We need to calculate greatest common factor of 546,8462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,8462) = 2

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

GCF(546,8462) x common factors =2 x 1 = 2

LCM(546,8462) = ( 546 × 8462 ) / 2

LCM(546,8462) = 4620252 / 2

LCM(546,8462) = 2310126


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9301/546, 8758/8462

1. 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.

2. What is the GCF of Fractions for 9301/546, 8758/8462?

Answer: GCF of Numerators as per given numbers 9301/546, 8758/8462 is

GCF of Numerators i.e. for 9301,8758 is 1

LCM of denominators i.e. for 546,8462 is 2310126.

Thus, GCF of Fractions is 1/2310126.Finally, GCF of Fractions for 9301/546, 8758/8462 is 1/2310126.