Greatest Common Factor of 750/84, 357/16, 574/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/84, 357/16, 574/519

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 750/84,357/16,574/519

Given fractions are 750/84,357/16,574/519

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 750,357,574

Greatest Common Factor of Numerators i.e. GCF of 750,357,574 is 1 .

LCM of Denominators means LCM of 84,16,519 as per the given fractions.

LCM of 84,16,519 is 58128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,357,574

GCF of Fractions 750/84,357/16,574/519 is 1/58128

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

Greatest Common Factor of 750,357,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,357,574 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

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 750,357,574 . The biggest common factor number is the GCF number.
So the greatest common factor 750,357,574 is 1.

Lets's calculate LCM of 84,16,519

2 84, 16, 519
2 42, 8, 519
3 21, 4, 519
7, 4, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 4 x 173 = 58128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58128

Therefore, the GCF of Fractions 750/84,357/16,574/519 is 1/58128

Least Common Multiple of 84,16,519 with GCF Formula

Least Common Multiple of 84,16,519 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 84,16,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,16,519) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,16,519) x common factors =1 x 12 = 12

LCM(84,16,519) = ( 84 × 16 × 519 ) / 12

LCM(84,16,519) = 697536 / 12

LCM(84,16,519) = 58128


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 750/84, 357/16, 574/519

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 750/84, 357/16, 574/519?

Answer: GCF of Numerators as per given numbers 750/84, 357/16, 574/519 is

GCF of Numerators i.e. for 750,357,574 is 1

LCM of denominators i.e. for 84,16,519 is 58128.

Thus, GCF of Fractions is 1/58128.Finally, GCF of Fractions for 750/84, 357/16, 574/519 is 1/58128.