Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 284/253,1985/573
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 284,1985
Greatest Common Factor of Numerators i.e. GCF of 284,1985 is 1 .
LCM of Denominators means LCM of 253,573 as per the given fractions.
LCM of 253,573 is 144969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 284,1985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1,5,397,1985
Greatest Common Factor
We found the factors 284,1985 . The biggest common factor number is the GCF number.
So the greatest common factor 284,1985 is 1.
Lets's calculate LCM of 253,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 144969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144969
Therefore, the GCF of Fractions 284/253,1985/573 is 1/144969
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 253,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,573) x common factors =1 x 1 = 1
LCM(253,573) = ( 253 × 573 ) / 1
LCM(253,573) = 144969 / 1
LCM(253,573) = 144969
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 284/253, 1985/573?
Answer: GCF of Numerators as per given numbers 284/253, 1985/573 is
GCF of Numerators i.e. for 284,1985 is 1
LCM of denominators i.e. for 253,573 is 144969.
Thus, GCF of Fractions is 1/144969.Finally, GCF of Fractions for 284/253, 1985/573 is 1/144969.