Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/271,74/622,774/572
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 98,74,774
Greatest Common Factor of Numerators i.e. GCF of 98,74,774 is 2 .
LCM of Denominators means LCM of 271,622,572 as per the given fractions.
LCM of 271,622,572 is 48208732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,74,774
2 | 98, 74, 774 |
49, 37, 387 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 98,74,774 . The biggest common factor number is the GCF number.
So the greatest common factor 98,74,774 is 2.
Lets's calculate LCM of 271,622,572
2 | 271, 622, 572 |
271, 311, 286 |
∴ So the LCM of the given numbers is 2 x 271 x 311 x 286 = 48208732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48208732
Therefore, the GCF of Fractions 98/271,74/622,774/572 is 2/48208732
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 271,622,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,622,572) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(271,622,572) x common factors =1 x 2 = 2
LCM(271,622,572) = ( 271 × 622 × 572 ) / 2
LCM(271,622,572) = 96417464 / 2
LCM(271,622,572) = 48208732
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 98/271, 74/622, 774/572?
Answer: GCF of Numerators as per given numbers 98/271, 74/622, 774/572 is
GCF of Numerators i.e. for 98,74,774 is 2
LCM of denominators i.e. for 271,622,572 is 48208732.
Thus, GCF of Fractions is 2/48208732.Finally, GCF of Fractions for 98/271, 74/622, 774/572 is 2/48208732.