Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2994/73,8278/439
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 2994,8278
Greatest Common Factor of Numerators i.e. GCF of 2994,8278 is 2 .
LCM of Denominators means LCM of 73,439 as per the given fractions.
LCM of 73,439 is 32047 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2994,8278
2 | 2994, 8278 |
1497, 4139 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2994
List of positive integer factors of 2994 that divides 2994 without a remainder.
1,2,3,6,499,998,1497,2994
Factors of 8278
List of positive integer factors of 8278 that divides 8278 without a remainder.
1,2,4139,8278
Greatest Common Factor
We found the factors 2994,8278 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,8278 is 2.
Lets's calculate LCM of 73,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 32047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32047
Therefore, the GCF of Fractions 2994/73,8278/439 is 2/32047
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 73,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,439) x common factors =1 x 1 = 1
LCM(73,439) = ( 73 × 439 ) / 1
LCM(73,439) = 32047 / 1
LCM(73,439) = 32047
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 2994/73, 8278/439?
Answer: GCF of Numerators as per given numbers 2994/73, 8278/439 is
GCF of Numerators i.e. for 2994,8278 is 2
LCM of denominators i.e. for 73,439 is 32047.
Thus, GCF of Fractions is 2/32047.Finally, GCF of Fractions for 2994/73, 8278/439 is 2/32047.