Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6273/951,9494/468
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 6273,9494
Greatest Common Factor of Numerators i.e. GCF of 6273,9494 is 1 .
LCM of Denominators means LCM of 951,468 as per the given fractions.
LCM of 951,468 is 148356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6273,9494
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6273
List of positive integer factors of 6273 that divides 6273 without a remainder.
1,3,9,17,41,51,123,153,369,697,2091,6273
Factors of 9494
List of positive integer factors of 9494 that divides 9494 without a remainder.
1,2,47,94,101,202,4747,9494
Greatest Common Factor
We found the factors 6273,9494 . The biggest common factor number is the GCF number.
So the greatest common factor 6273,9494 is 1.
Lets's calculate LCM of 951,468
3 | 951, 468 |
317, 156 |
∴ So the LCM of the given numbers is 3 x 317 x 156 = 148356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148356
Therefore, the GCF of Fractions 6273/951,9494/468 is 1/148356
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 951,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,468) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(951,468) x common factors =3 x 1 = 3
LCM(951,468) = ( 951 × 468 ) / 3
LCM(951,468) = 445068 / 3
LCM(951,468) = 148356
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 6273/951, 9494/468?
Answer: GCF of Numerators as per given numbers 6273/951, 9494/468 is
GCF of Numerators i.e. for 6273,9494 is 1
LCM of denominators i.e. for 951,468 is 148356.
Thus, GCF of Fractions is 1/148356.Finally, GCF of Fractions for 6273/951, 9494/468 is 1/148356.