Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4283/50,7122/909
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 4283,7122
Greatest Common Factor of Numerators i.e. GCF of 4283,7122 is 1 .
LCM of Denominators means LCM of 50,909 as per the given fractions.
LCM of 50,909 is 45450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4283,7122
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4283
List of positive integer factors of 4283 that divides 4283 without a remainder.
1,4283
Factors of 7122
List of positive integer factors of 7122 that divides 7122 without a remainder.
1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 4283,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,7122 is 1.
Lets's calculate LCM of 50,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 45450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45450
Therefore, the GCF of Fractions 4283/50,7122/909 is 1/45450
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 50,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,909) x common factors =1 x 1 = 1
LCM(50,909) = ( 50 × 909 ) / 1
LCM(50,909) = 45450 / 1
LCM(50,909) = 45450
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 4283/50, 7122/909?
Answer: GCF of Numerators as per given numbers 4283/50, 7122/909 is
GCF of Numerators i.e. for 4283,7122 is 1
LCM of denominators i.e. for 50,909 is 45450.
Thus, GCF of Fractions is 1/45450.Finally, GCF of Fractions for 4283/50, 7122/909 is 1/45450.