Greatest Common Factor of 3675/128, 3974/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3675/128, 3974/102

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 3675/128,3974/102

Given fractions are 3675/128,3974/102

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 3675,3974

Greatest Common Factor of Numerators i.e. GCF of 3675,3974 is 1 .

LCM of Denominators means LCM of 128,102 as per the given fractions.

LCM of 128,102 is 6528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3675,3974

GCF of Fractions 3675/128,3974/102 is 1/6528

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

Greatest Common Factor of 3675,3974 By Matching Biggest Common Factor Method

Greatest Common Factor of 3675,3974 By Matching Biggest Common Factor Method

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1,2,1987,3974

Greatest Common Factor

We found the factors 3675,3974 . The biggest common factor number is the GCF number.
So the greatest common factor 3675,3974 is 1.

Lets's calculate LCM of 128,102

2 128, 102
64, 51

∴ So the LCM of the given numbers is 2 x 64 x 51 = 6528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6528

Therefore, the GCF of Fractions 3675/128,3974/102 is 1/6528

Least Common Multiple of 128,102 with GCF Formula

Least Common Multiple of 128,102 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 128,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,102) = 2

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

GCF(128,102) x common factors =2 x 1 = 2

LCM(128,102) = ( 128 × 102 ) / 2

LCM(128,102) = 13056 / 2

LCM(128,102) = 6528


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 3675/128, 3974/102

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 3675/128, 3974/102?

Answer: GCF of Numerators as per given numbers 3675/128, 3974/102 is

GCF of Numerators i.e. for 3675,3974 is 1

LCM of denominators i.e. for 128,102 is 6528.

Thus, GCF of Fractions is 1/6528.Finally, GCF of Fractions for 3675/128, 3974/102 is 1/6528.