Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/337,99/730,249/713
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 45,99,249
Greatest Common Factor of Numerators i.e. GCF of 45,99,249 is 3 .
LCM of Denominators means LCM of 337,730,713 as per the given fractions.
LCM of 337,730,713 is 175405130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 45,99,249
3 | 45, 99, 249 |
15, 33, 83 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 45,99,249 . The biggest common factor number is the GCF number.
So the greatest common factor 45,99,249 is 3.
Lets's calculate LCM of 337,730,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 175405130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175405130
Therefore, the GCF of Fractions 45/337,99/730,249/713 is 3/175405130
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 337,730,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,730,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,730,713) x common factors =1 x 1 = 1
LCM(337,730,713) = ( 337 × 730 × 713 ) / 1
LCM(337,730,713) = 175405130 / 1
LCM(337,730,713) = 175405130
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 45/337, 99/730, 249/713?
Answer: GCF of Numerators as per given numbers 45/337, 99/730, 249/713 is
GCF of Numerators i.e. for 45,99,249 is 3
LCM of denominators i.e. for 337,730,713 is 175405130.
Thus, GCF of Fractions is 3/175405130.Finally, GCF of Fractions for 45/337, 99/730, 249/713 is 3/175405130.