Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/421,228/786,974/384
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 568,228,974
Greatest Common Factor of Numerators i.e. GCF of 568,228,974 is 2 .
LCM of Denominators means LCM of 421,786,384 as per the given fractions.
LCM of 421,786,384 is 21177984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,228,974
2 | 568, 228, 974 |
284, 114, 487 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 568,228,974 . The biggest common factor number is the GCF number.
So the greatest common factor 568,228,974 is 2.
Lets's calculate LCM of 421,786,384
2 | 421, 786, 384 |
3 | 421, 393, 192 |
421, 131, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 421 x 131 x 64 = 21177984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21177984
Therefore, the GCF of Fractions 568/421,228/786,974/384 is 2/21177984
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 421,786,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,786,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(421,786,384) x common factors =1 x 6 = 6
LCM(421,786,384) = ( 421 × 786 × 384 ) / 6
LCM(421,786,384) = 127067904 / 6
LCM(421,786,384) = 21177984
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 568/421, 228/786, 974/384?
Answer: GCF of Numerators as per given numbers 568/421, 228/786, 974/384 is
GCF of Numerators i.e. for 568,228,974 is 2
LCM of denominators i.e. for 421,786,384 is 21177984.
Thus, GCF of Fractions is 2/21177984.Finally, GCF of Fractions for 568/421, 228/786, 974/384 is 2/21177984.