Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/85,336/52,398/896
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 578,336,398
Greatest Common Factor of Numerators i.e. GCF of 578,336,398 is 2 .
LCM of Denominators means LCM of 85,52,896 as per the given fractions.
LCM of 85,52,896 is 990080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,336,398
2 | 578, 336, 398 |
289, 168, 199 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 578,336,398 . The biggest common factor number is the GCF number.
So the greatest common factor 578,336,398 is 2.
Lets's calculate LCM of 85,52,896
2 | 85, 52, 896 |
2 | 85, 26, 448 |
85, 13, 224 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 13 x 224 = 990080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/990080
Therefore, the GCF of Fractions 578/85,336/52,398/896 is 2/990080
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 85,52,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,52,896) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(85,52,896) x common factors =1 x 4 = 4
LCM(85,52,896) = ( 85 × 52 × 896 ) / 4
LCM(85,52,896) = 3960320 / 4
LCM(85,52,896) = 990080
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 578/85, 336/52, 398/896?
Answer: GCF of Numerators as per given numbers 578/85, 336/52, 398/896 is
GCF of Numerators i.e. for 578,336,398 is 2
LCM of denominators i.e. for 85,52,896 is 990080.
Thus, GCF of Fractions is 2/990080.Finally, GCF of Fractions for 578/85, 336/52, 398/896 is 2/990080.