Greatest Common Factor of 1460/74, 6040/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1460/74, 6040/258

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 1460/74,6040/258

Given fractions are 1460/74,6040/258

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 1460,6040

Greatest Common Factor of Numerators i.e. GCF of 1460,6040 is 20 .

LCM of Denominators means LCM of 74,258 as per the given fractions.

LCM of 74,258 is 9546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1460,6040

GCF of Fractions 1460/74,6040/258 is 20/9546

2 1460, 6040
2 730, 3020
5 365, 1510
73, 302

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 1460,6040 By Matching Biggest Common Factor Method

Greatest Common Factor of 1460,6040 By Matching Biggest Common Factor Method

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1,2,4,5,10,20,73,146,292,365,730,1460

Factors of 6040

List of positive integer factors of 6040 that divides 6040 without a remainder.

1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040

Greatest Common Factor

We found the factors 1460,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 1460,6040 is 20.

Lets's calculate LCM of 74,258

2 74, 258
37, 129

∴ So the LCM of the given numbers is 2 x 37 x 129 = 9546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/9546

Therefore, the GCF of Fractions 1460/74,6040/258 is 20/9546

Least Common Multiple of 74,258 with GCF Formula

Least Common Multiple of 74,258 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 74,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,258) = 2

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

GCF(74,258) x common factors =2 x 1 = 2

LCM(74,258) = ( 74 × 258 ) / 2

LCM(74,258) = 19092 / 2

LCM(74,258) = 9546


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 1460/74, 6040/258

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 1460/74, 6040/258?

Answer: GCF of Numerators as per given numbers 1460/74, 6040/258 is

GCF of Numerators i.e. for 1460,6040 is 20

LCM of denominators i.e. for 74,258 is 9546.

Thus, GCF of Fractions is 20/9546.Finally, GCF of Fractions for 1460/74, 6040/258 is 20/9546.