Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1178/29,4454/339
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 1178,4454
Greatest Common Factor of Numerators i.e. GCF of 1178,4454 is 2 .
LCM of Denominators means LCM of 29,339 as per the given fractions.
LCM of 29,339 is 9831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1178,4454
2 | 1178, 4454 |
589, 2227 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1178
List of positive integer factors of 1178 that divides 1178 without a remainder.
1,2,19,31,38,62,589,1178
Factors of 4454
List of positive integer factors of 4454 that divides 4454 without a remainder.
1,2,17,34,131,262,2227,4454
Greatest Common Factor
We found the factors 1178,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 1178,4454 is 2.
Lets's calculate LCM of 29,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 9831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9831
Therefore, the GCF of Fractions 1178/29,4454/339 is 2/9831
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 29,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,339) x common factors =1 x 1 = 1
LCM(29,339) = ( 29 × 339 ) / 1
LCM(29,339) = 9831 / 1
LCM(29,339) = 9831
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 1178/29, 4454/339?
Answer: GCF of Numerators as per given numbers 1178/29, 4454/339 is
GCF of Numerators i.e. for 1178,4454 is 2
LCM of denominators i.e. for 29,339 is 9831.
Thus, GCF of Fractions is 2/9831.Finally, GCF of Fractions for 1178/29, 4454/339 is 2/9831.