Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7425/50,9175/967
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 7425,9175
Greatest Common Factor of Numerators i.e. GCF of 7425,9175 is 25 .
LCM of Denominators means LCM of 50,967 as per the given fractions.
LCM of 50,967 is 48350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7425,9175
5 | 7425, 9175 |
5 | 1485, 1835 |
297, 367 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 7425
List of positive integer factors of 7425 that divides 7425 without a remainder.
1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Factors of 9175
List of positive integer factors of 9175 that divides 9175 without a remainder.
1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 7425,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,9175 is 25.
Lets's calculate LCM of 50,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 48350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/48350
Therefore, the GCF of Fractions 7425/50,9175/967 is 25/48350
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 50,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,967) x common factors =1 x 1 = 1
LCM(50,967) = ( 50 × 967 ) / 1
LCM(50,967) = 48350 / 1
LCM(50,967) = 48350
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 7425/50, 9175/967?
Answer: GCF of Numerators as per given numbers 7425/50, 9175/967 is
GCF of Numerators i.e. for 7425,9175 is 25
LCM of denominators i.e. for 50,967 is 48350.
Thus, GCF of Fractions is 25/48350.Finally, GCF of Fractions for 7425/50, 9175/967 is 25/48350.