Greatest Common Factor of 3008/254, 8144/9222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3008/254, 8144/9222

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 3008/254,8144/9222

Given fractions are 3008/254,8144/9222

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 3008,8144

Greatest Common Factor of Numerators i.e. GCF of 3008,8144 is 16 .

LCM of Denominators means LCM of 254,9222 as per the given fractions.

LCM of 254,9222 is 1171194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3008,8144

GCF of Fractions 3008/254,8144/9222 is 16/1171194

2 3008, 8144
2 1504, 4072
2 752, 2036
2 376, 1018
188, 509

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 3008,8144 By Matching Biggest Common Factor Method

Greatest Common Factor of 3008,8144 By Matching Biggest Common Factor Method

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Greatest Common Factor

We found the factors 3008,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 3008,8144 is 16.

Lets's calculate LCM of 254,9222

2 254, 9222
127, 4611

∴ So the LCM of the given numbers is 2 x 127 x 4611 = 1171194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1171194

Therefore, the GCF of Fractions 3008/254,8144/9222 is 16/1171194

Least Common Multiple of 254,9222 with GCF Formula

Least Common Multiple of 254,9222 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 254,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,9222) = 2

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

GCF(254,9222) x common factors =2 x 1 = 2

LCM(254,9222) = ( 254 × 9222 ) / 2

LCM(254,9222) = 2342388 / 2

LCM(254,9222) = 1171194


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 3008/254, 8144/9222

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 3008/254, 8144/9222?

Answer: GCF of Numerators as per given numbers 3008/254, 8144/9222 is

GCF of Numerators i.e. for 3008,8144 is 16

LCM of denominators i.e. for 254,9222 is 1171194.

Thus, GCF of Fractions is 16/1171194.Finally, GCF of Fractions for 3008/254, 8144/9222 is 16/1171194.