Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/450,962/103
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 942,962
Greatest Common Factor of Numerators i.e. GCF of 942,962 is 2 .
LCM of Denominators means LCM of 450,103 as per the given fractions.
LCM of 450,103 is 46350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 942,962
2 | 942, 962 |
471, 481 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 942,962 . The biggest common factor number is the GCF number.
So the greatest common factor 942,962 is 2.
Lets's calculate LCM of 450,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 46350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46350
Therefore, the GCF of Fractions 942/450,962/103 is 2/46350
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 450,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(450,103) x common factors =1 x 1 = 1
LCM(450,103) = ( 450 × 103 ) / 1
LCM(450,103) = 46350 / 1
LCM(450,103) = 46350
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 942/450, 962/103?
Answer: GCF of Numerators as per given numbers 942/450, 962/103 is
GCF of Numerators i.e. for 942,962 is 2
LCM of denominators i.e. for 450,103 is 46350.
Thus, GCF of Fractions is 2/46350.Finally, GCF of Fractions for 942/450, 962/103 is 2/46350.