Greatest Common Factor of 7231/262, 8290/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7231/262, 8290/244

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 7231/262,8290/244

Given fractions are 7231/262,8290/244

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 7231,8290

Greatest Common Factor of Numerators i.e. GCF of 7231,8290 is 1 .

LCM of Denominators means LCM of 262,244 as per the given fractions.

LCM of 262,244 is 31964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7231,8290

GCF of Fractions 7231/262,8290/244 is 1/31964

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

Greatest Common Factor of 7231,8290 By Matching Biggest Common Factor Method

Greatest Common Factor of 7231,8290 By Matching Biggest Common Factor Method

Factors of 7231

List of positive integer factors of 7231 that divides 7231 without a remainder.

1,7,1033,7231

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Greatest Common Factor

We found the factors 7231,8290 . The biggest common factor number is the GCF number.
So the greatest common factor 7231,8290 is 1.

Lets's calculate LCM of 262,244

2 262, 244
131, 122

∴ So the LCM of the given numbers is 2 x 131 x 122 = 31964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31964

Therefore, the GCF of Fractions 7231/262,8290/244 is 1/31964

Least Common Multiple of 262,244 with GCF Formula

Least Common Multiple of 262,244 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 262,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,244) = 2

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

GCF(262,244) x common factors =2 x 1 = 2

LCM(262,244) = ( 262 × 244 ) / 2

LCM(262,244) = 63928 / 2

LCM(262,244) = 31964


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 7231/262, 8290/244

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 7231/262, 8290/244?

Answer: GCF of Numerators as per given numbers 7231/262, 8290/244 is

GCF of Numerators i.e. for 7231,8290 is 1

LCM of denominators i.e. for 262,244 is 31964.

Thus, GCF of Fractions is 1/31964.Finally, GCF of Fractions for 7231/262, 8290/244 is 1/31964.