Greatest Common Factor of 470/365, 4148/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/365, 4148/292

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 470/365,4148/292

Given fractions are 470/365,4148/292

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 470,4148

Greatest Common Factor of Numerators i.e. GCF of 470,4148 is 2 .

LCM of Denominators means LCM of 365,292 as per the given fractions.

LCM of 365,292 is 1460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,4148

GCF of Fractions 470/365,4148/292 is 2/1460

2 470, 4148
235, 2074

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 470,4148 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,4148 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1,2,4,17,34,61,68,122,244,1037,2074,4148

Greatest Common Factor

We found the factors 470,4148 . The biggest common factor number is the GCF number.
So the greatest common factor 470,4148 is 2.

Lets's calculate LCM of 365,292

73 365, 292
5, 4

∴ So the LCM of the given numbers is 73 x 5 x 4 = 1460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1460

Therefore, the GCF of Fractions 470/365,4148/292 is 2/1460

Least Common Multiple of 365,292 with GCF Formula

Least Common Multiple of 365,292 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 365,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,292) = 73

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

GCF(365,292) x common factors =73 x 1 = 73

LCM(365,292) = ( 365 × 292 ) / 73

LCM(365,292) = 106580 / 73

LCM(365,292) = 1460


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 470/365, 4148/292

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 470/365, 4148/292?

Answer: GCF of Numerators as per given numbers 470/365, 4148/292 is

GCF of Numerators i.e. for 470,4148 is 2

LCM of denominators i.e. for 365,292 is 1460.

Thus, GCF of Fractions is 2/1460.Finally, GCF of Fractions for 470/365, 4148/292 is 2/1460.