Greatest Common Factor of 7234/145, 8270/1913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7234/145, 8270/1913

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 7234/145,8270/1913

Given fractions are 7234/145,8270/1913

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 7234,8270

Greatest Common Factor of Numerators i.e. GCF of 7234,8270 is 2 .

LCM of Denominators means LCM of 145,1913 as per the given fractions.

LCM of 145,1913 is 277385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7234,8270

GCF of Fractions 7234/145,8270/1913 is 2/277385

2 7234, 8270
3617, 4135

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

Greatest Common Factor of 7234,8270 By Matching Biggest Common Factor Method

Greatest Common Factor of 7234,8270 By Matching Biggest Common Factor Method

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1,2,3617,7234

Factors of 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1,2,5,10,827,1654,4135,8270

Greatest Common Factor

We found the factors 7234,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 7234,8270 is 2.

Lets's calculate LCM of 145,1913

Given numbers has no common factors except 1. So, there LCM is their product i.e 277385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277385

Therefore, the GCF of Fractions 7234/145,8270/1913 is 2/277385

Least Common Multiple of 145,1913 with GCF Formula

Least Common Multiple of 145,1913 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 145,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,1913) = 1

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

GCF(145,1913) x common factors =1 x 1 = 1

LCM(145,1913) = ( 145 × 1913 ) / 1

LCM(145,1913) = 277385 / 1

LCM(145,1913) = 277385


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 7234/145, 8270/1913

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 7234/145, 8270/1913?

Answer: GCF of Numerators as per given numbers 7234/145, 8270/1913 is

GCF of Numerators i.e. for 7234,8270 is 2

LCM of denominators i.e. for 145,1913 is 277385.

Thus, GCF of Fractions is 2/277385.Finally, GCF of Fractions for 7234/145, 8270/1913 is 2/277385.