Greatest Common Factor of 74/357, 288/825, 396/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/357, 288/825, 396/525

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 74/357,288/825,396/525

Given fractions are 74/357,288/825,396/525

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 74,288,396

Greatest Common Factor of Numerators i.e. GCF of 74,288,396 is 2 .

LCM of Denominators means LCM of 357,825,525 as per the given fractions.

LCM of 357,825,525 is 98175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,288,396

GCF of Fractions 74/357,288/825,396/525 is 2/98175

2 74, 288, 396
37, 144, 198

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

Greatest Common Factor of 74,288,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,288,396 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 74,288,396 . The biggest common factor number is the GCF number.
So the greatest common factor 74,288,396 is 2.

Lets's calculate LCM of 357,825,525

3 357, 825, 525
5 119, 275, 175
5 119, 55, 35
7 119, 11, 7
17, 11, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 7 x 17 x 11 x 1 = 98175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98175

Therefore, the GCF of Fractions 74/357,288/825,396/525 is 2/98175

Least Common Multiple of 357,825,525 with GCF Formula

Least Common Multiple of 357,825,525 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 357,825,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,825,525) = 3

common factors(in case of two or more numbers have common factors) = 525

GCF(357,825,525) x common factors =3 x 525 = 1575

LCM(357,825,525) = ( 357 × 825 × 525 ) / 1575

LCM(357,825,525) = 154625625 / 1575

LCM(357,825,525) = 98175


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 74/357, 288/825, 396/525

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 74/357, 288/825, 396/525?

Answer: GCF of Numerators as per given numbers 74/357, 288/825, 396/525 is

GCF of Numerators i.e. for 74,288,396 is 2

LCM of denominators i.e. for 357,825,525 is 98175.

Thus, GCF of Fractions is 2/98175.Finally, GCF of Fractions for 74/357, 288/825, 396/525 is 2/98175.