Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8072/297,4234/1268
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 8072,4234
Greatest Common Factor of Numerators i.e. GCF of 8072,4234 is 2 .
LCM of Denominators means LCM of 297,1268 as per the given fractions.
LCM of 297,1268 is 376596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8072,4234
2 | 8072, 4234 |
4036, 2117 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8072
List of positive integer factors of 8072 that divides 8072 without a remainder.
1,2,4,8,1009,2018,4036,8072
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 8072,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,4234 is 2.
Lets's calculate LCM of 297,1268
Given numbers has no common factors except 1. So, there LCM is their product i.e 376596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376596
Therefore, the GCF of Fractions 8072/297,4234/1268 is 2/376596
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 297,1268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,1268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,1268) x common factors =1 x 1 = 1
LCM(297,1268) = ( 297 × 1268 ) / 1
LCM(297,1268) = 376596 / 1
LCM(297,1268) = 376596
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 8072/297, 4234/1268?
Answer: GCF of Numerators as per given numbers 8072/297, 4234/1268 is
GCF of Numerators i.e. for 8072,4234 is 2
LCM of denominators i.e. for 297,1268 is 376596.
Thus, GCF of Fractions is 2/376596.Finally, GCF of Fractions for 8072/297, 4234/1268 is 2/376596.