Greatest Common Factor of 672/768, 7014/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/768, 7014/912

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 672/768,7014/912

Given fractions are 672/768,7014/912

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 672,7014

Greatest Common Factor of Numerators i.e. GCF of 672,7014 is 42 .

LCM of Denominators means LCM of 768,912 as per the given fractions.

LCM of 768,912 is 14592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,7014

GCF of Fractions 672/768,7014/912 is 42/14592

2 672, 7014
3 336, 3507
7 112, 1169
16, 167

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 672,7014 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,7014 By Matching Biggest Common Factor Method

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

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 672,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 672,7014 is 42.

Lets's calculate LCM of 768,912

2 768, 912
2 384, 456
2 192, 228
2 96, 114
3 48, 57
16, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 16 x 19 = 14592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/14592

Therefore, the GCF of Fractions 672/768,7014/912 is 42/14592

Least Common Multiple of 768,912 with GCF Formula

Least Common Multiple of 768,912 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 768,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,912) = 48

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

GCF(768,912) x common factors =48 x 1 = 48

LCM(768,912) = ( 768 × 912 ) / 48

LCM(768,912) = 700416 / 48

LCM(768,912) = 14592


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 672/768, 7014/912

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 672/768, 7014/912?

Answer: GCF of Numerators as per given numbers 672/768, 7014/912 is

GCF of Numerators i.e. for 672,7014 is 42

LCM of denominators i.e. for 768,912 is 14592.

Thus, GCF of Fractions is 42/14592.Finally, GCF of Fractions for 672/768, 7014/912 is 42/14592.