Greatest Common Factor of 4344/680, 1626/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4344/680, 1626/777

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 4344/680,1626/777

Given fractions are 4344/680,1626/777

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 4344,1626

Greatest Common Factor of Numerators i.e. GCF of 4344,1626 is 6 .

LCM of Denominators means LCM of 680,777 as per the given fractions.

LCM of 680,777 is 528360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4344,1626

GCF of Fractions 4344/680,1626/777 is 6/528360

2 4344, 1626
3 2172, 813
724, 271

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4344,1626 By Matching Biggest Common Factor Method

Greatest Common Factor of 4344,1626 By Matching Biggest Common Factor Method

Factors of 4344

List of positive integer factors of 4344 that divides 4344 without a remainder.

1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1,2,3,6,271,542,813,1626

Greatest Common Factor

We found the factors 4344,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 4344,1626 is 6.

Lets's calculate LCM of 680,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 528360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/528360

Therefore, the GCF of Fractions 4344/680,1626/777 is 6/528360

Least Common Multiple of 680,777 with GCF Formula

Least Common Multiple of 680,777 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 680,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,777) = 1

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

GCF(680,777) x common factors =1 x 1 = 1

LCM(680,777) = ( 680 × 777 ) / 1

LCM(680,777) = 528360 / 1

LCM(680,777) = 528360


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 4344/680, 1626/777

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 4344/680, 1626/777?

Answer: GCF of Numerators as per given numbers 4344/680, 1626/777 is

GCF of Numerators i.e. for 4344,1626 is 6

LCM of denominators i.e. for 680,777 is 528360.

Thus, GCF of Fractions is 6/528360.Finally, GCF of Fractions for 4344/680, 1626/777 is 6/528360.