Greatest Common Factor of 9008/838, 2374/7575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9008/838, 2374/7575

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 9008/838,2374/7575

Given fractions are 9008/838,2374/7575

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 9008,2374

Greatest Common Factor of Numerators i.e. GCF of 9008,2374 is 2 .

LCM of Denominators means LCM of 838,7575 as per the given fractions.

LCM of 838,7575 is 6347850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9008,2374

GCF of Fractions 9008/838,2374/7575 is 2/6347850

2 9008, 2374
4504, 1187

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

Greatest Common Factor of 9008,2374 By Matching Biggest Common Factor Method

Greatest Common Factor of 9008,2374 By Matching Biggest Common Factor Method

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1,2,1187,2374

Greatest Common Factor

We found the factors 9008,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,2374 is 2.

Lets's calculate LCM of 838,7575

Given numbers has no common factors except 1. So, there LCM is their product i.e 6347850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6347850

Therefore, the GCF of Fractions 9008/838,2374/7575 is 2/6347850

Least Common Multiple of 838,7575 with GCF Formula

Least Common Multiple of 838,7575 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 838,7575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,7575) = 1

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

GCF(838,7575) x common factors =1 x 1 = 1

LCM(838,7575) = ( 838 × 7575 ) / 1

LCM(838,7575) = 6347850 / 1

LCM(838,7575) = 6347850


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 9008/838, 2374/7575

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 9008/838, 2374/7575?

Answer: GCF of Numerators as per given numbers 9008/838, 2374/7575 is

GCF of Numerators i.e. for 9008,2374 is 2

LCM of denominators i.e. for 838,7575 is 6347850.

Thus, GCF of Fractions is 2/6347850.Finally, GCF of Fractions for 9008/838, 2374/7575 is 2/6347850.