Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/951,582/557,122/942
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 48,582,122
Greatest Common Factor of Numerators i.e. GCF of 48,582,122 is 2 .
LCM of Denominators means LCM of 951,557,942 as per the given fractions.
LCM of 951,557,942 is 166327998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,582,122
2 | 48, 582, 122 |
24, 291, 61 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 48,582,122 . The biggest common factor number is the GCF number.
So the greatest common factor 48,582,122 is 2.
Lets's calculate LCM of 951,557,942
3 | 951, 557, 942 |
317, 557, 314 |
∴ So the LCM of the given numbers is 3 x 317 x 557 x 314 = 166327998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166327998
Therefore, the GCF of Fractions 48/951,582/557,122/942 is 2/166327998
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 951,557,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,557,942) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(951,557,942) x common factors =1 x 3 = 3
LCM(951,557,942) = ( 951 × 557 × 942 ) / 3
LCM(951,557,942) = 498983994 / 3
LCM(951,557,942) = 166327998
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 48/951, 582/557, 122/942?
Answer: GCF of Numerators as per given numbers 48/951, 582/557, 122/942 is
GCF of Numerators i.e. for 48,582,122 is 2
LCM of denominators i.e. for 951,557,942 is 166327998.
Thus, GCF of Fractions is 2/166327998.Finally, GCF of Fractions for 48/951, 582/557, 122/942 is 2/166327998.