Greatest Common Factor of 1752/728, 1252/7932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1752/728, 1252/7932

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 1752/728,1252/7932

Given fractions are 1752/728,1252/7932

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 1752,1252

Greatest Common Factor of Numerators i.e. GCF of 1752,1252 is 4 .

LCM of Denominators means LCM of 728,7932 as per the given fractions.

LCM of 728,7932 is 1443624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1752,1252

GCF of Fractions 1752/728,1252/7932 is 4/1443624

2 1752, 1252
2 876, 626
438, 313

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1752,1252 By Matching Biggest Common Factor Method

Greatest Common Factor of 1752,1252 By Matching Biggest Common Factor Method

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Greatest Common Factor

We found the factors 1752,1252 . The biggest common factor number is the GCF number.
So the greatest common factor 1752,1252 is 4.

Lets's calculate LCM of 728,7932

2 728, 7932
2 364, 3966
182, 1983

∴ So the LCM of the given numbers is 2 x 2 x 182 x 1983 = 1443624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1443624

Therefore, the GCF of Fractions 1752/728,1252/7932 is 4/1443624

Least Common Multiple of 728,7932 with GCF Formula

Least Common Multiple of 728,7932 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 728,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,7932) = 4

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

GCF(728,7932) x common factors =4 x 1 = 4

LCM(728,7932) = ( 728 × 7932 ) / 4

LCM(728,7932) = 5774496 / 4

LCM(728,7932) = 1443624


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 1752/728, 1252/7932

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 1752/728, 1252/7932?

Answer: GCF of Numerators as per given numbers 1752/728, 1252/7932 is

GCF of Numerators i.e. for 1752,1252 is 4

LCM of denominators i.e. for 728,7932 is 1443624.

Thus, GCF of Fractions is 4/1443624.Finally, GCF of Fractions for 1752/728, 1252/7932 is 4/1443624.