Greatest Common Factor of 7138/628, 6908/3765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7138/628, 6908/3765

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 7138/628,6908/3765

Given fractions are 7138/628,6908/3765

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 7138,6908

Greatest Common Factor of Numerators i.e. GCF of 7138,6908 is 2 .

LCM of Denominators means LCM of 628,3765 as per the given fractions.

LCM of 628,3765 is 2364420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7138,6908

GCF of Fractions 7138/628,6908/3765 is 2/2364420

2 7138, 6908
3569, 3454

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

Greatest Common Factor of 7138,6908 By Matching Biggest Common Factor Method

Greatest Common Factor of 7138,6908 By Matching Biggest Common Factor Method

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Greatest Common Factor

We found the factors 7138,6908 . The biggest common factor number is the GCF number.
So the greatest common factor 7138,6908 is 2.

Lets's calculate LCM of 628,3765

Given numbers has no common factors except 1. So, there LCM is their product i.e 2364420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2364420

Therefore, the GCF of Fractions 7138/628,6908/3765 is 2/2364420

Least Common Multiple of 628,3765 with GCF Formula

Least Common Multiple of 628,3765 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 628,3765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,3765) = 1

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

GCF(628,3765) x common factors =1 x 1 = 1

LCM(628,3765) = ( 628 × 3765 ) / 1

LCM(628,3765) = 2364420 / 1

LCM(628,3765) = 2364420


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 7138/628, 6908/3765

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 7138/628, 6908/3765?

Answer: GCF of Numerators as per given numbers 7138/628, 6908/3765 is

GCF of Numerators i.e. for 7138,6908 is 2

LCM of denominators i.e. for 628,3765 is 2364420.

Thus, GCF of Fractions is 2/2364420.Finally, GCF of Fractions for 7138/628, 6908/3765 is 2/2364420.