Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/922,215/424,848/325
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 425,215,848
Greatest Common Factor of Numerators i.e. GCF of 425,215,848 is 1 .
LCM of Denominators means LCM of 922,424,325 as per the given fractions.
LCM of 922,424,325 is 63525800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,215,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 425,215,848 . The biggest common factor number is the GCF number.
So the greatest common factor 425,215,848 is 1.
Lets's calculate LCM of 922,424,325
2 | 922, 424, 325 |
461, 212, 325 |
∴ So the LCM of the given numbers is 2 x 461 x 212 x 325 = 63525800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63525800
Therefore, the GCF of Fractions 425/922,215/424,848/325 is 1/63525800
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 922,424,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,424,325) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(922,424,325) x common factors =1 x 2 = 2
LCM(922,424,325) = ( 922 × 424 × 325 ) / 2
LCM(922,424,325) = 127051600 / 2
LCM(922,424,325) = 63525800
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 425/922, 215/424, 848/325?
Answer: GCF of Numerators as per given numbers 425/922, 215/424, 848/325 is
GCF of Numerators i.e. for 425,215,848 is 1
LCM of denominators i.e. for 922,424,325 is 63525800.
Thus, GCF of Fractions is 1/63525800.Finally, GCF of Fractions for 425/922, 215/424, 848/325 is 1/63525800.