Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/72,376/507
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 423,376
Greatest Common Factor of Numerators i.e. GCF of 423,376 is 47 .
LCM of Denominators means LCM of 72,507 as per the given fractions.
LCM of 72,507 is 12168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 423,376
47 | 423, 376 |
9, 8 |
∴ So the GCF of the given numbers is 47 = 47
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 423,376 . The biggest common factor number is the GCF number.
So the greatest common factor 423,376 is 47.
Lets's calculate LCM of 72,507
3 | 72, 507 |
24, 169 |
∴ So the LCM of the given numbers is 3 x 24 x 169 = 12168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/12168
Therefore, the GCF of Fractions 423/72,376/507 is 47/12168
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 72,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,507) x common factors =3 x 1 = 3
LCM(72,507) = ( 72 × 507 ) / 3
LCM(72,507) = 36504 / 3
LCM(72,507) = 12168
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 423/72, 376/507?
Answer: GCF of Numerators as per given numbers 423/72, 376/507 is
GCF of Numerators i.e. for 423,376 is 47
LCM of denominators i.e. for 72,507 is 12168.
Thus, GCF of Fractions is 47/12168.Finally, GCF of Fractions for 423/72, 376/507 is 47/12168.