Greatest Common Factor of 9468/908, 2930/1415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9468/908, 2930/1415

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 9468/908,2930/1415

Given fractions are 9468/908,2930/1415

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 9468,2930

Greatest Common Factor of Numerators i.e. GCF of 9468,2930 is 2 .

LCM of Denominators means LCM of 908,1415 as per the given fractions.

LCM of 908,1415 is 1284820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9468,2930

GCF of Fractions 9468/908,2930/1415 is 2/1284820

2 9468, 2930
4734, 1465

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9468,2930 By Matching Biggest Common Factor Method

Greatest Common Factor of 9468,2930 By Matching Biggest Common Factor Method

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

Factors of 2930

List of positive integer factors of 2930 that divides 2930 without a remainder.

1,2,5,10,293,586,1465,2930

Greatest Common Factor

We found the factors 9468,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,2930 is 2.

Lets's calculate LCM of 908,1415

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1284820

Therefore, the GCF of Fractions 9468/908,2930/1415 is 2/1284820

Least Common Multiple of 908,1415 with GCF Formula

Least Common Multiple of 908,1415 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 908,1415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,1415) = 1

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

GCF(908,1415) x common factors =1 x 1 = 1

LCM(908,1415) = ( 908 × 1415 ) / 1

LCM(908,1415) = 1284820 / 1

LCM(908,1415) = 1284820


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 9468/908, 2930/1415

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 9468/908, 2930/1415?

Answer: GCF of Numerators as per given numbers 9468/908, 2930/1415 is

GCF of Numerators i.e. for 9468,2930 is 2

LCM of denominators i.e. for 908,1415 is 1284820.

Thus, GCF of Fractions is 2/1284820.Finally, GCF of Fractions for 9468/908, 2930/1415 is 2/1284820.