Greatest Common Factor of 1880/972, 1392/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1880/972, 1392/536

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 1880/972,1392/536

Given fractions are 1880/972,1392/536

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 1880,1392

Greatest Common Factor of Numerators i.e. GCF of 1880,1392 is 8 .

LCM of Denominators means LCM of 972,536 as per the given fractions.

LCM of 972,536 is 130248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1880,1392

GCF of Fractions 1880/972,1392/536 is 8/130248

2 1880, 1392
2 940, 696
2 470, 348
235, 174

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1880,1392 By Matching Biggest Common Factor Method

Greatest Common Factor of 1880,1392 By Matching Biggest Common Factor Method

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Greatest Common Factor

We found the factors 1880,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,1392 is 8.

Lets's calculate LCM of 972,536

2 972, 536
2 486, 268
243, 134

∴ So the LCM of the given numbers is 2 x 2 x 243 x 134 = 130248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/130248

Therefore, the GCF of Fractions 1880/972,1392/536 is 8/130248

Least Common Multiple of 972,536 with GCF Formula

Least Common Multiple of 972,536 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 972,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,536) = 4

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

GCF(972,536) x common factors =4 x 1 = 4

LCM(972,536) = ( 972 × 536 ) / 4

LCM(972,536) = 520992 / 4

LCM(972,536) = 130248


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 1880/972, 1392/536

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 1880/972, 1392/536?

Answer: GCF of Numerators as per given numbers 1880/972, 1392/536 is

GCF of Numerators i.e. for 1880,1392 is 8

LCM of denominators i.e. for 972,536 is 130248.

Thus, GCF of Fractions is 8/130248.Finally, GCF of Fractions for 1880/972, 1392/536 is 8/130248.