Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2559/61,1270/822
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 2559,1270
Greatest Common Factor of Numerators i.e. GCF of 2559,1270 is 1 .
LCM of Denominators means LCM of 61,822 as per the given fractions.
LCM of 61,822 is 50142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2559,1270
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2559
List of positive integer factors of 2559 that divides 2559 without a remainder.
1,3,853,2559
Factors of 1270
List of positive integer factors of 1270 that divides 1270 without a remainder.
1,2,5,10,127,254,635,1270
Greatest Common Factor
We found the factors 2559,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 2559,1270 is 1.
Lets's calculate LCM of 61,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 50142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50142
Therefore, the GCF of Fractions 2559/61,1270/822 is 1/50142
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 61,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,822) x common factors =1 x 1 = 1
LCM(61,822) = ( 61 × 822 ) / 1
LCM(61,822) = 50142 / 1
LCM(61,822) = 50142
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 2559/61, 1270/822?
Answer: GCF of Numerators as per given numbers 2559/61, 1270/822 is
GCF of Numerators i.e. for 2559,1270 is 1
LCM of denominators i.e. for 61,822 is 50142.
Thus, GCF of Fractions is 1/50142.Finally, GCF of Fractions for 2559/61, 1270/822 is 1/50142.