Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9012/551,4750/453
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 9012,4750
Greatest Common Factor of Numerators i.e. GCF of 9012,4750 is 2 .
LCM of Denominators means LCM of 551,453 as per the given fractions.
LCM of 551,453 is 249603 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9012,4750
2 | 9012, 4750 |
4506, 2375 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9012
List of positive integer factors of 9012 that divides 9012 without a remainder.
1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Factors of 4750
List of positive integer factors of 4750 that divides 4750 without a remainder.
1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Greatest Common Factor
We found the factors 9012,4750 . The biggest common factor number is the GCF number.
So the greatest common factor 9012,4750 is 2.
Lets's calculate LCM of 551,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 249603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249603
Therefore, the GCF of Fractions 9012/551,4750/453 is 2/249603
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 551,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,453) x common factors =1 x 1 = 1
LCM(551,453) = ( 551 × 453 ) / 1
LCM(551,453) = 249603 / 1
LCM(551,453) = 249603
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 9012/551, 4750/453?
Answer: GCF of Numerators as per given numbers 9012/551, 4750/453 is
GCF of Numerators i.e. for 9012,4750 is 2
LCM of denominators i.e. for 551,453 is 249603.
Thus, GCF of Fractions is 2/249603.Finally, GCF of Fractions for 9012/551, 4750/453 is 2/249603.