Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/80,434/30,688/231
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 976,434,688
Greatest Common Factor of Numerators i.e. GCF of 976,434,688 is 2 .
LCM of Denominators means LCM of 80,30,231 as per the given fractions.
LCM of 80,30,231 is 18480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 976,434,688
2 | 976, 434, 688 |
488, 217, 344 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 976,434,688 . The biggest common factor number is the GCF number.
So the greatest common factor 976,434,688 is 2.
Lets's calculate LCM of 80,30,231
2 | 80, 30, 231 |
3 | 40, 15, 231 |
5 | 40, 5, 77 |
8, 1, 77 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 1 x 77 = 18480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18480
Therefore, the GCF of Fractions 976/80,434/30,688/231 is 2/18480
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 80,30,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,30,231) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(80,30,231) x common factors =1 x 30 = 30
LCM(80,30,231) = ( 80 × 30 × 231 ) / 30
LCM(80,30,231) = 554400 / 30
LCM(80,30,231) = 18480
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 976/80, 434/30, 688/231?
Answer: GCF of Numerators as per given numbers 976/80, 434/30, 688/231 is
GCF of Numerators i.e. for 976,434,688 is 2
LCM of denominators i.e. for 80,30,231 is 18480.
Thus, GCF of Fractions is 2/18480.Finally, GCF of Fractions for 976/80, 434/30, 688/231 is 2/18480.