Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3217/148,7879/4045
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 3217,7879
Greatest Common Factor of Numerators i.e. GCF of 3217,7879 is 1 .
LCM of Denominators means LCM of 148,4045 as per the given fractions.
LCM of 148,4045 is 598660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3217,7879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3217
List of positive integer factors of 3217 that divides 3217 without a remainder.
1,3217
Factors of 7879
List of positive integer factors of 7879 that divides 7879 without a remainder.
1,7879
Greatest Common Factor
We found the factors 3217,7879 . The biggest common factor number is the GCF number.
So the greatest common factor 3217,7879 is 1.
Lets's calculate LCM of 148,4045
Given numbers has no common factors except 1. So, there LCM is their product i.e 598660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598660
Therefore, the GCF of Fractions 3217/148,7879/4045 is 1/598660
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 148,4045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,4045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,4045) x common factors =1 x 1 = 1
LCM(148,4045) = ( 148 × 4045 ) / 1
LCM(148,4045) = 598660 / 1
LCM(148,4045) = 598660
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 3217/148, 7879/4045?
Answer: GCF of Numerators as per given numbers 3217/148, 7879/4045 is
GCF of Numerators i.e. for 3217,7879 is 1
LCM of denominators i.e. for 148,4045 is 598660.
Thus, GCF of Fractions is 1/598660.Finally, GCF of Fractions for 3217/148, 7879/4045 is 1/598660.