Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 278/271,1228/373
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 278,1228
Greatest Common Factor of Numerators i.e. GCF of 278,1228 is 2 .
LCM of Denominators means LCM of 271,373 as per the given fractions.
LCM of 271,373 is 101083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 278,1228
2 | 278, 1228 |
139, 614 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 1228
List of positive integer factors of 1228 that divides 1228 without a remainder.
1,2,4,307,614,1228
Greatest Common Factor
We found the factors 278,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 278,1228 is 2.
Lets's calculate LCM of 271,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 101083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101083
Therefore, the GCF of Fractions 278/271,1228/373 is 2/101083
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 271,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,373) x common factors =1 x 1 = 1
LCM(271,373) = ( 271 × 373 ) / 1
LCM(271,373) = 101083 / 1
LCM(271,373) = 101083
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 278/271, 1228/373?
Answer: GCF of Numerators as per given numbers 278/271, 1228/373 is
GCF of Numerators i.e. for 278,1228 is 2
LCM of denominators i.e. for 271,373 is 101083.
Thus, GCF of Fractions is 2/101083.Finally, GCF of Fractions for 278/271, 1228/373 is 2/101083.