Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 237/37,318/7702
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 237,318
Greatest Common Factor of Numerators i.e. GCF of 237,318 is 3 .
LCM of Denominators means LCM of 37,7702 as per the given fractions.
LCM of 37,7702 is 284974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 237,318
3 | 237, 318 |
79, 106 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 237,318 . The biggest common factor number is the GCF number.
So the greatest common factor 237,318 is 3.
Lets's calculate LCM of 37,7702
Given numbers has no common factors except 1. So, there LCM is their product i.e 284974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/284974
Therefore, the GCF of Fractions 237/37,318/7702 is 3/284974
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 37,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,7702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,7702) x common factors =1 x 1 = 1
LCM(37,7702) = ( 37 × 7702 ) / 1
LCM(37,7702) = 284974 / 1
LCM(37,7702) = 284974
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 237/37, 318/7702?
Answer: GCF of Numerators as per given numbers 237/37, 318/7702 is
GCF of Numerators i.e. for 237,318 is 3
LCM of denominators i.e. for 37,7702 is 284974.
Thus, GCF of Fractions is 3/284974.Finally, GCF of Fractions for 237/37, 318/7702 is 3/284974.