Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5374/47,4760/214
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 5374,4760
Greatest Common Factor of Numerators i.e. GCF of 5374,4760 is 2 .
LCM of Denominators means LCM of 47,214 as per the given fractions.
LCM of 47,214 is 10058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5374,4760
2 | 5374, 4760 |
2687, 2380 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5374
List of positive integer factors of 5374 that divides 5374 without a remainder.
1,2,2687,5374
Factors of 4760
List of positive integer factors of 4760 that divides 4760 without a remainder.
1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Greatest Common Factor
We found the factors 5374,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 5374,4760 is 2.
Lets's calculate LCM of 47,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 10058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10058
Therefore, the GCF of Fractions 5374/47,4760/214 is 2/10058
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 47,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,214) x common factors =1 x 1 = 1
LCM(47,214) = ( 47 × 214 ) / 1
LCM(47,214) = 10058 / 1
LCM(47,214) = 10058
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 5374/47, 4760/214?
Answer: GCF of Numerators as per given numbers 5374/47, 4760/214 is
GCF of Numerators i.e. for 5374,4760 is 2
LCM of denominators i.e. for 47,214 is 10058.
Thus, GCF of Fractions is 2/10058.Finally, GCF of Fractions for 5374/47, 4760/214 is 2/10058.