Greatest Common Factor of 90/504, 74/333, 740/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/504, 74/333, 740/542

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 90/504,74/333,740/542

Given fractions are 90/504,74/333,740/542

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 90,74,740

Greatest Common Factor of Numerators i.e. GCF of 90,74,740 is 2 .

LCM of Denominators means LCM of 504,333,542 as per the given fractions.

LCM of 504,333,542 is 5053608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,74,740

GCF of Fractions 90/504,74/333,740/542 is 2/5053608

2 90, 74, 740
45, 37, 370

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

Greatest Common Factor of 90,74,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,74,740 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 90,74,740 . The biggest common factor number is the GCF number.
So the greatest common factor 90,74,740 is 2.

Lets's calculate LCM of 504,333,542

2 504, 333, 542
3 252, 333, 271
3 84, 111, 271
28, 37, 271

∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 37 x 271 = 5053608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5053608

Therefore, the GCF of Fractions 90/504,74/333,740/542 is 2/5053608

Least Common Multiple of 504,333,542 with GCF Formula

Least Common Multiple of 504,333,542 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 504,333,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,333,542) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(504,333,542) x common factors =1 x 18 = 18

LCM(504,333,542) = ( 504 × 333 × 542 ) / 18

LCM(504,333,542) = 90964944 / 18

LCM(504,333,542) = 5053608


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 90/504, 74/333, 740/542

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 90/504, 74/333, 740/542?

Answer: GCF of Numerators as per given numbers 90/504, 74/333, 740/542 is

GCF of Numerators i.e. for 90,74,740 is 2

LCM of denominators i.e. for 504,333,542 is 5053608.

Thus, GCF of Fractions is 2/5053608.Finally, GCF of Fractions for 90/504, 74/333, 740/542 is 2/5053608.