Greatest Common Factor of 1416/688, 5925/4377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1416/688, 5925/4377

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 1416/688,5925/4377

Given fractions are 1416/688,5925/4377

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 1416,5925

Greatest Common Factor of Numerators i.e. GCF of 1416,5925 is 3 .

LCM of Denominators means LCM of 688,4377 as per the given fractions.

LCM of 688,4377 is 3011376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1416,5925

GCF of Fractions 1416/688,5925/4377 is 3/3011376

3 1416, 5925
472, 1975

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

Greatest Common Factor of 1416,5925 By Matching Biggest Common Factor Method

Greatest Common Factor of 1416,5925 By Matching Biggest Common Factor Method

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors 1416,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,5925 is 3.

Lets's calculate LCM of 688,4377

Given numbers has no common factors except 1. So, there LCM is their product i.e 3011376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3011376

Therefore, the GCF of Fractions 1416/688,5925/4377 is 3/3011376

Least Common Multiple of 688,4377 with GCF Formula

Least Common Multiple of 688,4377 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 688,4377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,4377) = 1

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

GCF(688,4377) x common factors =1 x 1 = 1

LCM(688,4377) = ( 688 × 4377 ) / 1

LCM(688,4377) = 3011376 / 1

LCM(688,4377) = 3011376


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 1416/688, 5925/4377

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 1416/688, 5925/4377?

Answer: GCF of Numerators as per given numbers 1416/688, 5925/4377 is

GCF of Numerators i.e. for 1416,5925 is 3

LCM of denominators i.e. for 688,4377 is 3011376.

Thus, GCF of Fractions is 3/3011376.Finally, GCF of Fractions for 1416/688, 5925/4377 is 3/3011376.