Greatest Common Factor of 752/48, 386/29, 574/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/48, 386/29, 574/155

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 752/48,386/29,574/155

Given fractions are 752/48,386/29,574/155

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 752,386,574

Greatest Common Factor of Numerators i.e. GCF of 752,386,574 is 2 .

LCM of Denominators means LCM of 48,29,155 as per the given fractions.

LCM of 48,29,155 is 215760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,386,574

GCF of Fractions 752/48,386/29,574/155 is 2/215760

2 752, 386, 574
376, 193, 287

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

Greatest Common Factor of 752,386,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,386,574 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 752,386,574 . The biggest common factor number is the GCF number.
So the greatest common factor 752,386,574 is 2.

Lets's calculate LCM of 48,29,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 215760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/215760

Therefore, the GCF of Fractions 752/48,386/29,574/155 is 2/215760

Least Common Multiple of 48,29,155 with GCF Formula

Least Common Multiple of 48,29,155 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 48,29,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,29,155) = 1

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

GCF(48,29,155) x common factors =1 x 1 = 1

LCM(48,29,155) = ( 48 × 29 × 155 ) / 1

LCM(48,29,155) = 215760 / 1

LCM(48,29,155) = 215760


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 752/48, 386/29, 574/155

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 752/48, 386/29, 574/155?

Answer: GCF of Numerators as per given numbers 752/48, 386/29, 574/155 is

GCF of Numerators i.e. for 752,386,574 is 2

LCM of denominators i.e. for 48,29,155 is 215760.

Thus, GCF of Fractions is 2/215760.Finally, GCF of Fractions for 752/48, 386/29, 574/155 is 2/215760.