Greatest Common Factor of 294/528, 882/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/528, 882/728

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 294/528,882/728

Given fractions are 294/528,882/728

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 294,882

Greatest Common Factor of Numerators i.e. GCF of 294,882 is 294 .

LCM of Denominators means LCM of 528,728 as per the given fractions.

LCM of 528,728 is 48048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,882

GCF of Fractions 294/528,882/728 is 294/48048

2 294, 882
3 147, 441
7 49, 147
7 7, 21
1, 3

∴ So the GCF of the given numbers is 2 x 3 x 7 x 7 = 294

Greatest Common Factor of 294,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,882 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 294,882 . The biggest common factor number is the GCF number.
So the greatest common factor 294,882 is 294.

Lets's calculate LCM of 528,728

2 528, 728
2 264, 364
2 132, 182
66, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 66 x 91 = 48048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 294/48048

Therefore, the GCF of Fractions 294/528,882/728 is 294/48048

Least Common Multiple of 528,728 with GCF Formula

Least Common Multiple of 528,728 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 528,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,728) = 8

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

GCF(528,728) x common factors =8 x 1 = 8

LCM(528,728) = ( 528 × 728 ) / 8

LCM(528,728) = 384384 / 8

LCM(528,728) = 48048


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 294/528, 882/728

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 294/528, 882/728?

Answer: GCF of Numerators as per given numbers 294/528, 882/728 is

GCF of Numerators i.e. for 294,882 is 294

LCM of denominators i.e. for 528,728 is 48048.

Thus, GCF of Fractions is 294/48048.Finally, GCF of Fractions for 294/528, 882/728 is 294/48048.