Greatest Common Factor of 5148/945, 9666/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5148/945, 9666/402

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 5148/945,9666/402

Given fractions are 5148/945,9666/402

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 5148,9666

Greatest Common Factor of Numerators i.e. GCF of 5148,9666 is 18 .

LCM of Denominators means LCM of 945,402 as per the given fractions.

LCM of 945,402 is 126630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5148,9666

GCF of Fractions 5148/945,9666/402 is 18/126630

2 5148, 9666
3 2574, 4833
3 858, 1611
286, 537

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 5148,9666 By Matching Biggest Common Factor Method

Greatest Common Factor of 5148,9666 By Matching Biggest Common Factor Method

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666

Greatest Common Factor

We found the factors 5148,9666 . The biggest common factor number is the GCF number.
So the greatest common factor 5148,9666 is 18.

Lets's calculate LCM of 945,402

3 945, 402
315, 134

∴ So the LCM of the given numbers is 3 x 315 x 134 = 126630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/126630

Therefore, the GCF of Fractions 5148/945,9666/402 is 18/126630

Least Common Multiple of 945,402 with GCF Formula

Least Common Multiple of 945,402 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 945,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,402) = 3

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

GCF(945,402) x common factors =3 x 1 = 3

LCM(945,402) = ( 945 × 402 ) / 3

LCM(945,402) = 379890 / 3

LCM(945,402) = 126630


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 5148/945, 9666/402

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 5148/945, 9666/402?

Answer: GCF of Numerators as per given numbers 5148/945, 9666/402 is

GCF of Numerators i.e. for 5148,9666 is 18

LCM of denominators i.e. for 945,402 is 126630.

Thus, GCF of Fractions is 18/126630.Finally, GCF of Fractions for 5148/945, 9666/402 is 18/126630.