Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/96,580/33,700/721
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 80,580,700
Greatest Common Factor of Numerators i.e. GCF of 80,580,700 is 20 .
LCM of Denominators means LCM of 96,33,721 as per the given fractions.
LCM of 96,33,721 is 761376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,580,700
2 | 80, 580, 700 |
2 | 40, 290, 350 |
5 | 20, 145, 175 |
4, 29, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 80,580,700 . The biggest common factor number is the GCF number.
So the greatest common factor 80,580,700 is 20.
Lets's calculate LCM of 96,33,721
3 | 96, 33, 721 |
32, 11, 721 |
∴ So the LCM of the given numbers is 3 x 32 x 11 x 721 = 761376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/761376
Therefore, the GCF of Fractions 80/96,580/33,700/721 is 20/761376
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 96,33,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,33,721) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(96,33,721) x common factors =1 x 3 = 3
LCM(96,33,721) = ( 96 × 33 × 721 ) / 3
LCM(96,33,721) = 2284128 / 3
LCM(96,33,721) = 761376
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 80/96, 580/33, 700/721?
Answer: GCF of Numerators as per given numbers 80/96, 580/33, 700/721 is
GCF of Numerators i.e. for 80,580,700 is 20
LCM of denominators i.e. for 96,33,721 is 761376.
Thus, GCF of Fractions is 20/761376.Finally, GCF of Fractions for 80/96, 580/33, 700/721 is 20/761376.