Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/32,4983/889
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 650,4983
Greatest Common Factor of Numerators i.e. GCF of 650,4983 is 1 .
LCM of Denominators means LCM of 32,889 as per the given fractions.
LCM of 32,889 is 28448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,4983
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 4983
List of positive integer factors of 4983 that divides 4983 without a remainder.
1,3,11,33,151,453,1661,4983
Greatest Common Factor
We found the factors 650,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 650,4983 is 1.
Lets's calculate LCM of 32,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 28448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28448
Therefore, the GCF of Fractions 650/32,4983/889 is 1/28448
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 32,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,889) x common factors =1 x 1 = 1
LCM(32,889) = ( 32 × 889 ) / 1
LCM(32,889) = 28448 / 1
LCM(32,889) = 28448
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 650/32, 4983/889?
Answer: GCF of Numerators as per given numbers 650/32, 4983/889 is
GCF of Numerators i.e. for 650,4983 is 1
LCM of denominators i.e. for 32,889 is 28448.
Thus, GCF of Fractions is 1/28448.Finally, GCF of Fractions for 650/32, 4983/889 is 1/28448.