Greatest Common Factor of 328/107, 7756/3748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/107, 7756/3748

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 328/107,7756/3748

Given fractions are 328/107,7756/3748

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 328,7756

Greatest Common Factor of Numerators i.e. GCF of 328,7756 is 4 .

LCM of Denominators means LCM of 107,3748 as per the given fractions.

LCM of 107,3748 is 401036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,7756

GCF of Fractions 328/107,7756/3748 is 4/401036

2 328, 7756
2 164, 3878
82, 1939

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 328,7756 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,7756 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1,2,4,7,14,28,277,554,1108,1939,3878,7756

Greatest Common Factor

We found the factors 328,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 328,7756 is 4.

Lets's calculate LCM of 107,3748

Given numbers has no common factors except 1. So, there LCM is their product i.e 401036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/401036

Therefore, the GCF of Fractions 328/107,7756/3748 is 4/401036

Least Common Multiple of 107,3748 with GCF Formula

Least Common Multiple of 107,3748 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 107,3748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,3748) = 1

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

GCF(107,3748) x common factors =1 x 1 = 1

LCM(107,3748) = ( 107 × 3748 ) / 1

LCM(107,3748) = 401036 / 1

LCM(107,3748) = 401036


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 328/107, 7756/3748

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 328/107, 7756/3748?

Answer: GCF of Numerators as per given numbers 328/107, 7756/3748 is

GCF of Numerators i.e. for 328,7756 is 4

LCM of denominators i.e. for 107,3748 is 401036.

Thus, GCF of Fractions is 4/401036.Finally, GCF of Fractions for 328/107, 7756/3748 is 4/401036.