Greatest Common Factor of 5421/695, 1449/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5421/695, 1449/672

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 5421/695,1449/672

Given fractions are 5421/695,1449/672

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 5421,1449

Greatest Common Factor of Numerators i.e. GCF of 5421,1449 is 3 .

LCM of Denominators means LCM of 695,672 as per the given fractions.

LCM of 695,672 is 467040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5421,1449

GCF of Fractions 5421/695,1449/672 is 3/467040

3 5421, 1449
1807, 483

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5421,1449 By Matching Biggest Common Factor Method

Greatest Common Factor of 5421,1449 By Matching Biggest Common Factor Method

Factors of 5421

List of positive integer factors of 5421 that divides 5421 without a remainder.

1,3,13,39,139,417,1807,5421

Factors of 1449

List of positive integer factors of 1449 that divides 1449 without a remainder.

1,3,7,9,21,23,63,69,161,207,483,1449

Greatest Common Factor

We found the factors 5421,1449 . The biggest common factor number is the GCF number.
So the greatest common factor 5421,1449 is 3.

Lets's calculate LCM of 695,672

Given numbers has no common factors except 1. So, there LCM is their product i.e 467040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/467040

Therefore, the GCF of Fractions 5421/695,1449/672 is 3/467040

Least Common Multiple of 695,672 with GCF Formula

Least Common Multiple of 695,672 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 695,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,672) = 1

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

GCF(695,672) x common factors =1 x 1 = 1

LCM(695,672) = ( 695 × 672 ) / 1

LCM(695,672) = 467040 / 1

LCM(695,672) = 467040


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 5421/695, 1449/672

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 5421/695, 1449/672?

Answer: GCF of Numerators as per given numbers 5421/695, 1449/672 is

GCF of Numerators i.e. for 5421,1449 is 3

LCM of denominators i.e. for 695,672 is 467040.

Thus, GCF of Fractions is 3/467040.Finally, GCF of Fractions for 5421/695, 1449/672 is 3/467040.