Greatest Common Factor of 355/38, 756/98, 282/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/38, 756/98, 282/572

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 355/38,756/98,282/572

Given fractions are 355/38,756/98,282/572

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 355,756,282

Greatest Common Factor of Numerators i.e. GCF of 355,756,282 is 1 .

LCM of Denominators means LCM of 38,98,572 as per the given fractions.

LCM of 38,98,572 is 532532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,756,282

GCF of Fractions 355/38,756/98,282/572 is 1/532532

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

Greatest Common Factor of 355,756,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,756,282 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 355,756,282 . The biggest common factor number is the GCF number.
So the greatest common factor 355,756,282 is 1.

Lets's calculate LCM of 38,98,572

2 38, 98, 572
19, 49, 286

∴ So the LCM of the given numbers is 2 x 19 x 49 x 286 = 532532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532532

Therefore, the GCF of Fractions 355/38,756/98,282/572 is 1/532532

Least Common Multiple of 38,98,572 with GCF Formula

Least Common Multiple of 38,98,572 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 38,98,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,98,572) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,98,572) x common factors =2 x 2 = 4

LCM(38,98,572) = ( 38 × 98 × 572 ) / 4

LCM(38,98,572) = 2130128 / 4

LCM(38,98,572) = 532532


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 355/38, 756/98, 282/572

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 355/38, 756/98, 282/572?

Answer: GCF of Numerators as per given numbers 355/38, 756/98, 282/572 is

GCF of Numerators i.e. for 355,756,282 is 1

LCM of denominators i.e. for 38,98,572 is 532532.

Thus, GCF of Fractions is 1/532532.Finally, GCF of Fractions for 355/38, 756/98, 282/572 is 1/532532.