Greatest Common Factor of 168/497, 9012/7124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/497, 9012/7124

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 168/497,9012/7124

Given fractions are 168/497,9012/7124

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 168,9012

Greatest Common Factor of Numerators i.e. GCF of 168,9012 is 12 .

LCM of Denominators means LCM of 497,7124 as per the given fractions.

LCM of 497,7124 is 3540628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,9012

GCF of Fractions 168/497,9012/7124 is 12/3540628

2 168, 9012
2 84, 4506
3 42, 2253
14, 751

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 168,9012 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,9012 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Greatest Common Factor

We found the factors 168,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 168,9012 is 12.

Lets's calculate LCM of 497,7124

Given numbers has no common factors except 1. So, there LCM is their product i.e 3540628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3540628

Therefore, the GCF of Fractions 168/497,9012/7124 is 12/3540628

Least Common Multiple of 497,7124 with GCF Formula

Least Common Multiple of 497,7124 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 497,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,7124) = 1

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

GCF(497,7124) x common factors =1 x 1 = 1

LCM(497,7124) = ( 497 × 7124 ) / 1

LCM(497,7124) = 3540628 / 1

LCM(497,7124) = 3540628


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 168/497, 9012/7124

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 168/497, 9012/7124?

Answer: GCF of Numerators as per given numbers 168/497, 9012/7124 is

GCF of Numerators i.e. for 168,9012 is 12

LCM of denominators i.e. for 497,7124 is 3540628.

Thus, GCF of Fractions is 12/3540628.Finally, GCF of Fractions for 168/497, 9012/7124 is 12/3540628.