Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/525,45/409,198/727
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 60,45,198
Greatest Common Factor of Numerators i.e. GCF of 60,45,198 is 3 .
LCM of Denominators means LCM of 525,409,727 as per the given fractions.
LCM of 525,409,727 is 156105075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,45,198
3 | 60, 45, 198 |
20, 15, 66 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 60,45,198 . The biggest common factor number is the GCF number.
So the greatest common factor 60,45,198 is 3.
Lets's calculate LCM of 525,409,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 156105075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156105075
Therefore, the GCF of Fractions 60/525,45/409,198/727 is 3/156105075
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 525,409,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,409,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,409,727) x common factors =1 x 1 = 1
LCM(525,409,727) = ( 525 × 409 × 727 ) / 1
LCM(525,409,727) = 156105075 / 1
LCM(525,409,727) = 156105075
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 60/525, 45/409, 198/727?
Answer: GCF of Numerators as per given numbers 60/525, 45/409, 198/727 is
GCF of Numerators i.e. for 60,45,198 is 3
LCM of denominators i.e. for 525,409,727 is 156105075.
Thus, GCF of Fractions is 3/156105075.Finally, GCF of Fractions for 60/525, 45/409, 198/727 is 3/156105075.