Greatest Common Factor of 3410/460, 1990/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3410/460, 1990/234

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 3410/460,1990/234

Given fractions are 3410/460,1990/234

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 3410,1990

Greatest Common Factor of Numerators i.e. GCF of 3410,1990 is 10 .

LCM of Denominators means LCM of 460,234 as per the given fractions.

LCM of 460,234 is 53820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3410,1990

GCF of Fractions 3410/460,1990/234 is 10/53820

2 3410, 1990
5 1705, 995
341, 199

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

Greatest Common Factor of 3410,1990 By Matching Biggest Common Factor Method

Greatest Common Factor of 3410,1990 By Matching Biggest Common Factor Method

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors 3410,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,1990 is 10.

Lets's calculate LCM of 460,234

2 460, 234
230, 117

∴ So the LCM of the given numbers is 2 x 230 x 117 = 53820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/53820

Therefore, the GCF of Fractions 3410/460,1990/234 is 10/53820

Least Common Multiple of 460,234 with GCF Formula

Least Common Multiple of 460,234 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 460,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,234) = 2

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

GCF(460,234) x common factors =2 x 1 = 2

LCM(460,234) = ( 460 × 234 ) / 2

LCM(460,234) = 107640 / 2

LCM(460,234) = 53820


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 3410/460, 1990/234

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 3410/460, 1990/234?

Answer: GCF of Numerators as per given numbers 3410/460, 1990/234 is

GCF of Numerators i.e. for 3410,1990 is 10

LCM of denominators i.e. for 460,234 is 53820.

Thus, GCF of Fractions is 10/53820.Finally, GCF of Fractions for 3410/460, 1990/234 is 10/53820.