Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4853/87,8925/743
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 4853,8925
Greatest Common Factor of Numerators i.e. GCF of 4853,8925 is 1 .
LCM of Denominators means LCM of 87,743 as per the given fractions.
LCM of 87,743 is 64641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4853,8925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4853
List of positive integer factors of 4853 that divides 4853 without a remainder.
1,23,211,4853
Factors of 8925
List of positive integer factors of 8925 that divides 8925 without a remainder.
1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 4853,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 4853,8925 is 1.
Lets's calculate LCM of 87,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 64641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64641
Therefore, the GCF of Fractions 4853/87,8925/743 is 1/64641
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 87,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,743) x common factors =1 x 1 = 1
LCM(87,743) = ( 87 × 743 ) / 1
LCM(87,743) = 64641 / 1
LCM(87,743) = 64641
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 4853/87, 8925/743?
Answer: GCF of Numerators as per given numbers 4853/87, 8925/743 is
GCF of Numerators i.e. for 4853,8925 is 1
LCM of denominators i.e. for 87,743 is 64641.
Thus, GCF of Fractions is 1/64641.Finally, GCF of Fractions for 4853/87, 8925/743 is 1/64641.