Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7990/125,7401/2658
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 7990,7401
Greatest Common Factor of Numerators i.e. GCF of 7990,7401 is 1 .
LCM of Denominators means LCM of 125,2658 as per the given fractions.
LCM of 125,2658 is 332250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7990,7401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7990
List of positive integer factors of 7990 that divides 7990 without a remainder.
1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990
Factors of 7401
List of positive integer factors of 7401 that divides 7401 without a remainder.
1,3,2467,7401
Greatest Common Factor
We found the factors 7990,7401 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,7401 is 1.
Lets's calculate LCM of 125,2658
Given numbers has no common factors except 1. So, there LCM is their product i.e 332250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332250
Therefore, the GCF of Fractions 7990/125,7401/2658 is 1/332250
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 125,2658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,2658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,2658) x common factors =1 x 1 = 1
LCM(125,2658) = ( 125 × 2658 ) / 1
LCM(125,2658) = 332250 / 1
LCM(125,2658) = 332250
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 7990/125, 7401/2658?
Answer: GCF of Numerators as per given numbers 7990/125, 7401/2658 is
GCF of Numerators i.e. for 7990,7401 is 1
LCM of denominators i.e. for 125,2658 is 332250.
Thus, GCF of Fractions is 1/332250.Finally, GCF of Fractions for 7990/125, 7401/2658 is 1/332250.