Greatest Common Factor of 906/222, 7470/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/222, 7470/645

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 906/222,7470/645

Given fractions are 906/222,7470/645

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 906,7470

Greatest Common Factor of Numerators i.e. GCF of 906,7470 is 6 .

LCM of Denominators means LCM of 222,645 as per the given fractions.

LCM of 222,645 is 47730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,7470

GCF of Fractions 906/222,7470/645 is 6/47730

2 906, 7470
3 453, 3735
151, 1245

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 906,7470 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,7470 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors 906,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 906,7470 is 6.

Lets's calculate LCM of 222,645

3 222, 645
74, 215

∴ So the LCM of the given numbers is 3 x 74 x 215 = 47730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47730

Therefore, the GCF of Fractions 906/222,7470/645 is 6/47730

Least Common Multiple of 222,645 with GCF Formula

Least Common Multiple of 222,645 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 222,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,645) = 3

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

GCF(222,645) x common factors =3 x 1 = 3

LCM(222,645) = ( 222 × 645 ) / 3

LCM(222,645) = 143190 / 3

LCM(222,645) = 47730


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 906/222, 7470/645

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 906/222, 7470/645?

Answer: GCF of Numerators as per given numbers 906/222, 7470/645 is

GCF of Numerators i.e. for 906,7470 is 6

LCM of denominators i.e. for 222,645 is 47730.

Thus, GCF of Fractions is 6/47730.Finally, GCF of Fractions for 906/222, 7470/645 is 6/47730.