Greatest Common Factor of 928/736, 204/882, 989/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/736, 204/882, 989/504

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 928/736,204/882,989/504

Given fractions are 928/736,204/882,989/504

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 928,204,989

Greatest Common Factor of Numerators i.e. GCF of 928,204,989 is 1 .

LCM of Denominators means LCM of 736,882,504 as per the given fractions.

LCM of 736,882,504 is 324576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,204,989

GCF of Fractions 928/736,204/882,989/504 is 1/324576

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

Greatest Common Factor of 928,204,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,204,989 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 928,204,989 . The biggest common factor number is the GCF number.
So the greatest common factor 928,204,989 is 1.

Lets's calculate LCM of 736,882,504

2 736, 882, 504
2 368, 441, 252
2 184, 441, 126
3 92, 441, 63
3 92, 147, 21
7 92, 49, 7
92, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 92 x 1 x 7 = 324576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324576

Therefore, the GCF of Fractions 928/736,204/882,989/504 is 1/324576

Least Common Multiple of 736,882,504 with GCF Formula

Least Common Multiple of 736,882,504 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 736,882,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,882,504) = 2

common factors(in case of two or more numbers have common factors) = 504

GCF(736,882,504) x common factors =2 x 504 = 1008

LCM(736,882,504) = ( 736 × 882 × 504 ) / 1008

LCM(736,882,504) = 327172608 / 1008

LCM(736,882,504) = 324576


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 928/736, 204/882, 989/504

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 928/736, 204/882, 989/504?

Answer: GCF of Numerators as per given numbers 928/736, 204/882, 989/504 is

GCF of Numerators i.e. for 928,204,989 is 1

LCM of denominators i.e. for 736,882,504 is 324576.

Thus, GCF of Fractions is 1/324576.Finally, GCF of Fractions for 928/736, 204/882, 989/504 is 1/324576.