Greatest Common Factor of 5222/282, 4135/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5222/282, 4135/248

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 5222/282,4135/248

Given fractions are 5222/282,4135/248

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 5222,4135

Greatest Common Factor of Numerators i.e. GCF of 5222,4135 is 1 .

LCM of Denominators means LCM of 282,248 as per the given fractions.

LCM of 282,248 is 34968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5222,4135

GCF of Fractions 5222/282,4135/248 is 1/34968

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

Greatest Common Factor of 5222,4135 By Matching Biggest Common Factor Method

Greatest Common Factor of 5222,4135 By Matching Biggest Common Factor Method

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1,5,827,4135

Greatest Common Factor

We found the factors 5222,4135 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,4135 is 1.

Lets's calculate LCM of 282,248

2 282, 248
141, 124

∴ So the LCM of the given numbers is 2 x 141 x 124 = 34968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34968

Therefore, the GCF of Fractions 5222/282,4135/248 is 1/34968

Least Common Multiple of 282,248 with GCF Formula

Least Common Multiple of 282,248 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 282,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,248) = 2

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

GCF(282,248) x common factors =2 x 1 = 2

LCM(282,248) = ( 282 × 248 ) / 2

LCM(282,248) = 69936 / 2

LCM(282,248) = 34968


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 5222/282, 4135/248

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 5222/282, 4135/248?

Answer: GCF of Numerators as per given numbers 5222/282, 4135/248 is

GCF of Numerators i.e. for 5222,4135 is 1

LCM of denominators i.e. for 282,248 is 34968.

Thus, GCF of Fractions is 1/34968.Finally, GCF of Fractions for 5222/282, 4135/248 is 1/34968.