Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4348/949,5990/8508
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 4348,5990
Greatest Common Factor of Numerators i.e. GCF of 4348,5990 is 2 .
LCM of Denominators means LCM of 949,8508 as per the given fractions.
LCM of 949,8508 is 8074092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4348,5990
2 | 4348, 5990 |
2174, 2995 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4348
List of positive integer factors of 4348 that divides 4348 without a remainder.
1,2,4,1087,2174,4348
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors 4348,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 4348,5990 is 2.
Lets's calculate LCM of 949,8508
Given numbers has no common factors except 1. So, there LCM is their product i.e 8074092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8074092
Therefore, the GCF of Fractions 4348/949,5990/8508 is 2/8074092
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 949,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,8508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,8508) x common factors =1 x 1 = 1
LCM(949,8508) = ( 949 × 8508 ) / 1
LCM(949,8508) = 8074092 / 1
LCM(949,8508) = 8074092
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 4348/949, 5990/8508?
Answer: GCF of Numerators as per given numbers 4348/949, 5990/8508 is
GCF of Numerators i.e. for 4348,5990 is 2
LCM of denominators i.e. for 949,8508 is 8074092.
Thus, GCF of Fractions is 2/8074092.Finally, GCF of Fractions for 4348/949, 5990/8508 is 2/8074092.