Greatest Common Factor of 3180/889, 3730/4079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3180/889, 3730/4079

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 3180/889,3730/4079

Given fractions are 3180/889,3730/4079

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 3180,3730

Greatest Common Factor of Numerators i.e. GCF of 3180,3730 is 10 .

LCM of Denominators means LCM of 889,4079 as per the given fractions.

LCM of 889,4079 is 3626231 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3180,3730

GCF of Fractions 3180/889,3730/4079 is 10/3626231

2 3180, 3730
5 1590, 1865
318, 373

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3180,3730 By Matching Biggest Common Factor Method

Greatest Common Factor of 3180,3730 By Matching Biggest Common Factor Method

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1,2,5,10,373,746,1865,3730

Greatest Common Factor

We found the factors 3180,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 3180,3730 is 10.

Lets's calculate LCM of 889,4079

Given numbers has no common factors except 1. So, there LCM is their product i.e 3626231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3626231

Therefore, the GCF of Fractions 3180/889,3730/4079 is 10/3626231

Least Common Multiple of 889,4079 with GCF Formula

Least Common Multiple of 889,4079 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 889,4079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,4079) = 1

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

GCF(889,4079) x common factors =1 x 1 = 1

LCM(889,4079) = ( 889 × 4079 ) / 1

LCM(889,4079) = 3626231 / 1

LCM(889,4079) = 3626231


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 3180/889, 3730/4079

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 3180/889, 3730/4079?

Answer: GCF of Numerators as per given numbers 3180/889, 3730/4079 is

GCF of Numerators i.e. for 3180,3730 is 10

LCM of denominators i.e. for 889,4079 is 3626231.

Thus, GCF of Fractions is 10/3626231.Finally, GCF of Fractions for 3180/889, 3730/4079 is 10/3626231.