Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2980/59,6400/719
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 2980,6400
Greatest Common Factor of Numerators i.e. GCF of 2980,6400 is 20 .
LCM of Denominators means LCM of 59,719 as per the given fractions.
LCM of 59,719 is 42421 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2980,6400
2 | 2980, 6400 |
2 | 1490, 3200 |
5 | 745, 1600 |
149, 320 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 2980
List of positive integer factors of 2980 that divides 2980 without a remainder.
1,2,4,5,10,20,149,298,596,745,1490,2980
Factors of 6400
List of positive integer factors of 6400 that divides 6400 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400
Greatest Common Factor
We found the factors 2980,6400 . The biggest common factor number is the GCF number.
So the greatest common factor 2980,6400 is 20.
Lets's calculate LCM of 59,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 42421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/42421
Therefore, the GCF of Fractions 2980/59,6400/719 is 20/42421
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 59,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,719) x common factors =1 x 1 = 1
LCM(59,719) = ( 59 × 719 ) / 1
LCM(59,719) = 42421 / 1
LCM(59,719) = 42421
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 2980/59, 6400/719?
Answer: GCF of Numerators as per given numbers 2980/59, 6400/719 is
GCF of Numerators i.e. for 2980,6400 is 20
LCM of denominators i.e. for 59,719 is 42421.
Thus, GCF of Fractions is 20/42421.Finally, GCF of Fractions for 2980/59, 6400/719 is 20/42421.