Greatest Common Factor of 3890/109, 2070/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3890/109, 2070/684

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 3890/109,2070/684

Given fractions are 3890/109,2070/684

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 3890,2070

Greatest Common Factor of Numerators i.e. GCF of 3890,2070 is 10 .

LCM of Denominators means LCM of 109,684 as per the given fractions.

LCM of 109,684 is 74556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3890,2070

GCF of Fractions 3890/109,2070/684 is 10/74556

2 3890, 2070
5 1945, 1035
389, 207

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

Greatest Common Factor of 3890,2070 By Matching Biggest Common Factor Method

Greatest Common Factor of 3890,2070 By Matching Biggest Common Factor Method

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1,2,5,10,389,778,1945,3890

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Greatest Common Factor

We found the factors 3890,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 3890,2070 is 10.

Lets's calculate LCM of 109,684

Given numbers has no common factors except 1. So, there LCM is their product i.e 74556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/74556

Therefore, the GCF of Fractions 3890/109,2070/684 is 10/74556

Least Common Multiple of 109,684 with GCF Formula

Least Common Multiple of 109,684 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 109,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,684) = 1

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

GCF(109,684) x common factors =1 x 1 = 1

LCM(109,684) = ( 109 × 684 ) / 1

LCM(109,684) = 74556 / 1

LCM(109,684) = 74556


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 3890/109, 2070/684

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 3890/109, 2070/684?

Answer: GCF of Numerators as per given numbers 3890/109, 2070/684 is

GCF of Numerators i.e. for 3890,2070 is 10

LCM of denominators i.e. for 109,684 is 74556.

Thus, GCF of Fractions is 10/74556.Finally, GCF of Fractions for 3890/109, 2070/684 is 10/74556.