Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1259/62,1081/325
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 1259,1081
Greatest Common Factor of Numerators i.e. GCF of 1259,1081 is 1 .
LCM of Denominators means LCM of 62,325 as per the given fractions.
LCM of 62,325 is 20150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1259,1081
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1259
List of positive integer factors of 1259 that divides 1259 without a remainder.
1,1259
Factors of 1081
List of positive integer factors of 1081 that divides 1081 without a remainder.
1,23,47,1081
Greatest Common Factor
We found the factors 1259,1081 . The biggest common factor number is the GCF number.
So the greatest common factor 1259,1081 is 1.
Lets's calculate LCM of 62,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 20150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20150
Therefore, the GCF of Fractions 1259/62,1081/325 is 1/20150
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 62,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,325) x common factors =1 x 1 = 1
LCM(62,325) = ( 62 × 325 ) / 1
LCM(62,325) = 20150 / 1
LCM(62,325) = 20150
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 1259/62, 1081/325?
Answer: GCF of Numerators as per given numbers 1259/62, 1081/325 is
GCF of Numerators i.e. for 1259,1081 is 1
LCM of denominators i.e. for 62,325 is 20150.
Thus, GCF of Fractions is 1/20150.Finally, GCF of Fractions for 1259/62, 1081/325 is 1/20150.