Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 625/989,275/631,200/505
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 625,275,200
Greatest Common Factor of Numerators i.e. GCF of 625,275,200 is 25 .
LCM of Denominators means LCM of 989,631,505 as per the given fractions.
LCM of 989,631,505 is 315149795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 625,275,200
5 | 625, 275, 200 |
5 | 125, 55, 40 |
25, 11, 8 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 625,275,200 . The biggest common factor number is the GCF number.
So the greatest common factor 625,275,200 is 25.
Lets's calculate LCM of 989,631,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 315149795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/315149795
Therefore, the GCF of Fractions 625/989,275/631,200/505 is 25/315149795
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 989,631,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,631,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,631,505) x common factors =1 x 1 = 1
LCM(989,631,505) = ( 989 × 631 × 505 ) / 1
LCM(989,631,505) = 315149795 / 1
LCM(989,631,505) = 315149795
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 625/989, 275/631, 200/505?
Answer: GCF of Numerators as per given numbers 625/989, 275/631, 200/505 is
GCF of Numerators i.e. for 625,275,200 is 25
LCM of denominators i.e. for 989,631,505 is 315149795.
Thus, GCF of Fractions is 25/315149795.Finally, GCF of Fractions for 625/989, 275/631, 200/505 is 25/315149795.