Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/603,888/103
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 118,888
Greatest Common Factor of Numerators i.e. GCF of 118,888 is 2 .
LCM of Denominators means LCM of 603,103 as per the given fractions.
LCM of 603,103 is 62109 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,888
2 | 118, 888 |
59, 444 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 118,888 . The biggest common factor number is the GCF number.
So the greatest common factor 118,888 is 2.
Lets's calculate LCM of 603,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 62109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62109
Therefore, the GCF of Fractions 118/603,888/103 is 2/62109
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 603,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,103) x common factors =1 x 1 = 1
LCM(603,103) = ( 603 × 103 ) / 1
LCM(603,103) = 62109 / 1
LCM(603,103) = 62109
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 118/603, 888/103?
Answer: GCF of Numerators as per given numbers 118/603, 888/103 is
GCF of Numerators i.e. for 118,888 is 2
LCM of denominators i.e. for 603,103 is 62109.
Thus, GCF of Fractions is 2/62109.Finally, GCF of Fractions for 118/603, 888/103 is 2/62109.