Greatest Common Factor of 3678/920, 7348/6903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3678/920, 7348/6903

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 3678/920,7348/6903

Given fractions are 3678/920,7348/6903

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 3678,7348

Greatest Common Factor of Numerators i.e. GCF of 3678,7348 is 2 .

LCM of Denominators means LCM of 920,6903 as per the given fractions.

LCM of 920,6903 is 6350760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3678,7348

GCF of Fractions 3678/920,7348/6903 is 2/6350760

2 3678, 7348
1839, 3674

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

Greatest Common Factor of 3678,7348 By Matching Biggest Common Factor Method

Greatest Common Factor of 3678,7348 By Matching Biggest Common Factor Method

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1,2,3,6,613,1226,1839,3678

Factors of 7348

List of positive integer factors of 7348 that divides 7348 without a remainder.

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors 3678,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 3678,7348 is 2.

Lets's calculate LCM of 920,6903

Given numbers has no common factors except 1. So, there LCM is their product i.e 6350760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6350760

Therefore, the GCF of Fractions 3678/920,7348/6903 is 2/6350760

Least Common Multiple of 920,6903 with GCF Formula

Least Common Multiple of 920,6903 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 920,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,6903) = 1

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

GCF(920,6903) x common factors =1 x 1 = 1

LCM(920,6903) = ( 920 × 6903 ) / 1

LCM(920,6903) = 6350760 / 1

LCM(920,6903) = 6350760


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 3678/920, 7348/6903

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 3678/920, 7348/6903?

Answer: GCF of Numerators as per given numbers 3678/920, 7348/6903 is

GCF of Numerators i.e. for 3678,7348 is 2

LCM of denominators i.e. for 920,6903 is 6350760.

Thus, GCF of Fractions is 2/6350760.Finally, GCF of Fractions for 3678/920, 7348/6903 is 2/6350760.