Greatest Common Factor of 7460/970, 3910/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7460/970, 3910/465

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 7460/970,3910/465

Given fractions are 7460/970,3910/465

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 7460,3910

Greatest Common Factor of Numerators i.e. GCF of 7460,3910 is 10 .

LCM of Denominators means LCM of 970,465 as per the given fractions.

LCM of 970,465 is 90210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7460,3910

GCF of Fractions 7460/970,3910/465 is 10/90210

2 7460, 3910
5 3730, 1955
746, 391

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

Greatest Common Factor of 7460,3910 By Matching Biggest Common Factor Method

Greatest Common Factor of 7460,3910 By Matching Biggest Common Factor Method

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1,2,4,5,10,20,373,746,1492,1865,3730,7460

Factors of 3910

List of positive integer factors of 3910 that divides 3910 without a remainder.

1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910

Greatest Common Factor

We found the factors 7460,3910 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,3910 is 10.

Lets's calculate LCM of 970,465

5 970, 465
194, 93

∴ So the LCM of the given numbers is 5 x 194 x 93 = 90210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/90210

Therefore, the GCF of Fractions 7460/970,3910/465 is 10/90210

Least Common Multiple of 970,465 with GCF Formula

Least Common Multiple of 970,465 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 970,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,465) = 5

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

GCF(970,465) x common factors =5 x 1 = 5

LCM(970,465) = ( 970 × 465 ) / 5

LCM(970,465) = 451050 / 5

LCM(970,465) = 90210


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 7460/970, 3910/465

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 7460/970, 3910/465?

Answer: GCF of Numerators as per given numbers 7460/970, 3910/465 is

GCF of Numerators i.e. for 7460,3910 is 10

LCM of denominators i.e. for 970,465 is 90210.

Thus, GCF of Fractions is 10/90210.Finally, GCF of Fractions for 7460/970, 3910/465 is 10/90210.