Greatest Common Factor of 504/693, 672/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/693, 672/115

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 504/693,672/115

Given fractions are 504/693,672/115

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 504,672

Greatest Common Factor of Numerators i.e. GCF of 504,672 is 168 .

LCM of Denominators means LCM of 693,115 as per the given fractions.

LCM of 693,115 is 79695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,672

GCF of Fractions 504/693,672/115 is 168/79695

2 504, 672
2 252, 336
2 126, 168
3 63, 84
7 21, 28
3, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168

Greatest Common Factor of 504,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,672 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 504,672 . The biggest common factor number is the GCF number.
So the greatest common factor 504,672 is 168.

Lets's calculate LCM of 693,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 79695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/79695

Therefore, the GCF of Fractions 504/693,672/115 is 168/79695

Least Common Multiple of 693,115 with GCF Formula

Least Common Multiple of 693,115 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 693,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,115) = 1

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

GCF(693,115) x common factors =1 x 1 = 1

LCM(693,115) = ( 693 × 115 ) / 1

LCM(693,115) = 79695 / 1

LCM(693,115) = 79695


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 504/693, 672/115

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 504/693, 672/115?

Answer: GCF of Numerators as per given numbers 504/693, 672/115 is

GCF of Numerators i.e. for 504,672 is 168

LCM of denominators i.e. for 693,115 is 79695.

Thus, GCF of Fractions is 168/79695.Finally, GCF of Fractions for 504/693, 672/115 is 168/79695.