Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/32,633/9377
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 548,633
Greatest Common Factor of Numerators i.e. GCF of 548,633 is 1 .
LCM of Denominators means LCM of 32,9377 as per the given fractions.
LCM of 32,9377 is 300064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 548,633 . The biggest common factor number is the GCF number.
So the greatest common factor 548,633 is 1.
Lets's calculate LCM of 32,9377
Given numbers has no common factors except 1. So, there LCM is their product i.e 300064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300064
Therefore, the GCF of Fractions 548/32,633/9377 is 1/300064
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 32,9377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,9377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,9377) x common factors =1 x 1 = 1
LCM(32,9377) = ( 32 × 9377 ) / 1
LCM(32,9377) = 300064 / 1
LCM(32,9377) = 300064
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 548/32, 633/9377?
Answer: GCF of Numerators as per given numbers 548/32, 633/9377 is
GCF of Numerators i.e. for 548,633 is 1
LCM of denominators i.e. for 32,9377 is 300064.
Thus, GCF of Fractions is 1/300064.Finally, GCF of Fractions for 548/32, 633/9377 is 1/300064.