Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/182,1731/956
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 133,1731
Greatest Common Factor of Numerators i.e. GCF of 133,1731 is 1 .
LCM of Denominators means LCM of 182,956 as per the given fractions.
LCM of 182,956 is 86996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 133,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 1731
List of positive integer factors of 1731 that divides 1731 without a remainder.
1,3,577,1731
Greatest Common Factor
We found the factors 133,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 133,1731 is 1.
Lets's calculate LCM of 182,956
2 | 182, 956 |
91, 478 |
∴ So the LCM of the given numbers is 2 x 91 x 478 = 86996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86996
Therefore, the GCF of Fractions 133/182,1731/956 is 1/86996
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 182,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,956) x common factors =2 x 1 = 2
LCM(182,956) = ( 182 × 956 ) / 2
LCM(182,956) = 173992 / 2
LCM(182,956) = 86996
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 133/182, 1731/956?
Answer: GCF of Numerators as per given numbers 133/182, 1731/956 is
GCF of Numerators i.e. for 133,1731 is 1
LCM of denominators i.e. for 182,956 is 86996.
Thus, GCF of Fractions is 1/86996.Finally, GCF of Fractions for 133/182, 1731/956 is 1/86996.