Greatest Common Factor of 1873/972, 4131/4288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1873/972, 4131/4288

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 1873/972,4131/4288

Given fractions are 1873/972,4131/4288

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 1873,4131

Greatest Common Factor of Numerators i.e. GCF of 1873,4131 is 1 .

LCM of Denominators means LCM of 972,4288 as per the given fractions.

LCM of 972,4288 is 1041984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1873,4131

GCF of Fractions 1873/972,4131/4288 is 1/1041984

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

Greatest Common Factor of 1873,4131 By Matching Biggest Common Factor Method

Greatest Common Factor of 1873,4131 By Matching Biggest Common Factor Method

Factors of 1873

List of positive integer factors of 1873 that divides 1873 without a remainder.

1,1873

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1,3,9,17,27,51,81,153,243,459,1377,4131

Greatest Common Factor

We found the factors 1873,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,4131 is 1.

Lets's calculate LCM of 972,4288

2 972, 4288
2 486, 2144
243, 1072

∴ So the LCM of the given numbers is 2 x 2 x 243 x 1072 = 1041984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1041984

Therefore, the GCF of Fractions 1873/972,4131/4288 is 1/1041984

Least Common Multiple of 972,4288 with GCF Formula

Least Common Multiple of 972,4288 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 972,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,4288) = 4

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

GCF(972,4288) x common factors =4 x 1 = 4

LCM(972,4288) = ( 972 × 4288 ) / 4

LCM(972,4288) = 4167936 / 4

LCM(972,4288) = 1041984


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 1873/972, 4131/4288

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 1873/972, 4131/4288?

Answer: GCF of Numerators as per given numbers 1873/972, 4131/4288 is

GCF of Numerators i.e. for 1873,4131 is 1

LCM of denominators i.e. for 972,4288 is 1041984.

Thus, GCF of Fractions is 1/1041984.Finally, GCF of Fractions for 1873/972, 4131/4288 is 1/1041984.