Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/8347,208/6836
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 548,208
Greatest Common Factor of Numerators i.e. GCF of 548,208 is 4 .
LCM of Denominators means LCM of 8347,6836 as per the given fractions.
LCM of 8347,6836 is 57060092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,208
2 | 548, 208 |
2 | 274, 104 |
137, 52 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 548,208 . The biggest common factor number is the GCF number.
So the greatest common factor 548,208 is 4.
Lets's calculate LCM of 8347,6836
Given numbers has no common factors except 1. So, there LCM is their product i.e 57060092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57060092
Therefore, the GCF of Fractions 548/8347,208/6836 is 4/57060092
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 8347,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8347,6836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8347,6836) x common factors =1 x 1 = 1
LCM(8347,6836) = ( 8347 × 6836 ) / 1
LCM(8347,6836) = 57060092 / 1
LCM(8347,6836) = 57060092
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 548/8347, 208/6836?
Answer: GCF of Numerators as per given numbers 548/8347, 208/6836 is
GCF of Numerators i.e. for 548,208 is 4
LCM of denominators i.e. for 8347,6836 is 57060092.
Thus, GCF of Fractions is 4/57060092.Finally, GCF of Fractions for 548/8347, 208/6836 is 4/57060092.