Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5442/85,2338/407
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 5442,2338
Greatest Common Factor of Numerators i.e. GCF of 5442,2338 is 2 .
LCM of Denominators means LCM of 85,407 as per the given fractions.
LCM of 85,407 is 34595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5442,2338
2 | 5442, 2338 |
2721, 1169 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5442
List of positive integer factors of 5442 that divides 5442 without a remainder.
1,2,3,6,907,1814,2721,5442
Factors of 2338
List of positive integer factors of 2338 that divides 2338 without a remainder.
1,2,7,14,167,334,1169,2338
Greatest Common Factor
We found the factors 5442,2338 . The biggest common factor number is the GCF number.
So the greatest common factor 5442,2338 is 2.
Lets's calculate LCM of 85,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 34595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34595
Therefore, the GCF of Fractions 5442/85,2338/407 is 2/34595
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 85,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,407) x common factors =1 x 1 = 1
LCM(85,407) = ( 85 × 407 ) / 1
LCM(85,407) = 34595 / 1
LCM(85,407) = 34595
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 5442/85, 2338/407?
Answer: GCF of Numerators as per given numbers 5442/85, 2338/407 is
GCF of Numerators i.e. for 5442,2338 is 2
LCM of denominators i.e. for 85,407 is 34595.
Thus, GCF of Fractions is 2/34595.Finally, GCF of Fractions for 5442/85, 2338/407 is 2/34595.