Greatest Common Factor of 188/304, 1374/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/304, 1374/105

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 188/304,1374/105

Given fractions are 188/304,1374/105

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 188,1374

Greatest Common Factor of Numerators i.e. GCF of 188,1374 is 2 .

LCM of Denominators means LCM of 304,105 as per the given fractions.

LCM of 304,105 is 31920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,1374

GCF of Fractions 188/304,1374/105 is 2/31920

2 188, 1374
94, 687

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

Greatest Common Factor of 188,1374 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,1374 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Greatest Common Factor

We found the factors 188,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 188,1374 is 2.

Lets's calculate LCM of 304,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 31920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31920

Therefore, the GCF of Fractions 188/304,1374/105 is 2/31920

Least Common Multiple of 304,105 with GCF Formula

Least Common Multiple of 304,105 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 304,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,105) = 1

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

GCF(304,105) x common factors =1 x 1 = 1

LCM(304,105) = ( 304 × 105 ) / 1

LCM(304,105) = 31920 / 1

LCM(304,105) = 31920


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 188/304, 1374/105

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 188/304, 1374/105?

Answer: GCF of Numerators as per given numbers 188/304, 1374/105 is

GCF of Numerators i.e. for 188,1374 is 2

LCM of denominators i.e. for 304,105 is 31920.

Thus, GCF of Fractions is 2/31920.Finally, GCF of Fractions for 188/304, 1374/105 is 2/31920.