Greatest Common Factor of 7270/320, 6469/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7270/320, 6469/892

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 7270/320,6469/892

Given fractions are 7270/320,6469/892

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 7270,6469

Greatest Common Factor of Numerators i.e. GCF of 7270,6469 is 1 .

LCM of Denominators means LCM of 320,892 as per the given fractions.

LCM of 320,892 is 71360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7270,6469

GCF of Fractions 7270/320,6469/892 is 1/71360

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7270,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 7270,6469 By Matching Biggest Common Factor Method

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Factors of 6469

List of positive integer factors of 6469 that divides 6469 without a remainder.

1,6469

Greatest Common Factor

We found the factors 7270,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,6469 is 1.

Lets's calculate LCM of 320,892

2 320, 892
2 160, 446
80, 223

∴ So the LCM of the given numbers is 2 x 2 x 80 x 223 = 71360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71360

Therefore, the GCF of Fractions 7270/320,6469/892 is 1/71360

Least Common Multiple of 320,892 with GCF Formula

Least Common Multiple of 320,892 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 320,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,892) = 4

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

GCF(320,892) x common factors =4 x 1 = 4

LCM(320,892) = ( 320 × 892 ) / 4

LCM(320,892) = 285440 / 4

LCM(320,892) = 71360


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 7270/320, 6469/892

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 7270/320, 6469/892?

Answer: GCF of Numerators as per given numbers 7270/320, 6469/892 is

GCF of Numerators i.e. for 7270,6469 is 1

LCM of denominators i.e. for 320,892 is 71360.

Thus, GCF of Fractions is 1/71360.Finally, GCF of Fractions for 7270/320, 6469/892 is 1/71360.