Greatest Common Factor of 9028/902, 5614/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9028/902, 5614/906

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 9028/902,5614/906

Given fractions are 9028/902,5614/906

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 9028,5614

Greatest Common Factor of Numerators i.e. GCF of 9028,5614 is 2 .

LCM of Denominators means LCM of 902,906 as per the given fractions.

LCM of 902,906 is 408606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9028,5614

GCF of Fractions 9028/902,5614/906 is 2/408606

2 9028, 5614
4514, 2807

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

Greatest Common Factor of 9028,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 9028,5614 By Matching Biggest Common Factor Method

Factors of 9028

List of positive integer factors of 9028 that divides 9028 without a remainder.

1,2,4,37,61,74,122,148,244,2257,4514,9028

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 9028,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 9028,5614 is 2.

Lets's calculate LCM of 902,906

2 902, 906
451, 453

∴ So the LCM of the given numbers is 2 x 451 x 453 = 408606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/408606

Therefore, the GCF of Fractions 9028/902,5614/906 is 2/408606

Least Common Multiple of 902,906 with GCF Formula

Least Common Multiple of 902,906 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 902,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,906) = 2

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

GCF(902,906) x common factors =2 x 1 = 2

LCM(902,906) = ( 902 × 906 ) / 2

LCM(902,906) = 817212 / 2

LCM(902,906) = 408606


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 9028/902, 5614/906

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 9028/902, 5614/906?

Answer: GCF of Numerators as per given numbers 9028/902, 5614/906 is

GCF of Numerators i.e. for 9028,5614 is 2

LCM of denominators i.e. for 902,906 is 408606.

Thus, GCF of Fractions is 2/408606.Finally, GCF of Fractions for 9028/902, 5614/906 is 2/408606.