Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8123/52,7760/583
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 8123,7760
Greatest Common Factor of Numerators i.e. GCF of 8123,7760 is 1 .
LCM of Denominators means LCM of 52,583 as per the given fractions.
LCM of 52,583 is 30316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8123,7760
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8123
List of positive integer factors of 8123 that divides 8123 without a remainder.
1,8123
Factors of 7760
List of positive integer factors of 7760 that divides 7760 without a remainder.
1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Greatest Common Factor
We found the factors 8123,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 8123,7760 is 1.
Lets's calculate LCM of 52,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 30316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30316
Therefore, the GCF of Fractions 8123/52,7760/583 is 1/30316
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 52,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,583) x common factors =1 x 1 = 1
LCM(52,583) = ( 52 × 583 ) / 1
LCM(52,583) = 30316 / 1
LCM(52,583) = 30316
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 8123/52, 7760/583?
Answer: GCF of Numerators as per given numbers 8123/52, 7760/583 is
GCF of Numerators i.e. for 8123,7760 is 1
LCM of denominators i.e. for 52,583 is 30316.
Thus, GCF of Fractions is 1/30316.Finally, GCF of Fractions for 8123/52, 7760/583 is 1/30316.