Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8872/53,6269/763
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 8872,6269
Greatest Common Factor of Numerators i.e. GCF of 8872,6269 is 1 .
LCM of Denominators means LCM of 53,763 as per the given fractions.
LCM of 53,763 is 40439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8872,6269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8872
List of positive integer factors of 8872 that divides 8872 without a remainder.
1,2,4,8,1109,2218,4436,8872
Factors of 6269
List of positive integer factors of 6269 that divides 6269 without a remainder.
1,6269
Greatest Common Factor
We found the factors 8872,6269 . The biggest common factor number is the GCF number.
So the greatest common factor 8872,6269 is 1.
Lets's calculate LCM of 53,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 40439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40439
Therefore, the GCF of Fractions 8872/53,6269/763 is 1/40439
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 53,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,763) x common factors =1 x 1 = 1
LCM(53,763) = ( 53 × 763 ) / 1
LCM(53,763) = 40439 / 1
LCM(53,763) = 40439
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 8872/53, 6269/763?
Answer: GCF of Numerators as per given numbers 8872/53, 6269/763 is
GCF of Numerators i.e. for 8872,6269 is 1
LCM of denominators i.e. for 53,763 is 40439.
Thus, GCF of Fractions is 1/40439.Finally, GCF of Fractions for 8872/53, 6269/763 is 1/40439.