Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1425/208,8516/5337
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 1425,8516
Greatest Common Factor of Numerators i.e. GCF of 1425,8516 is 1 .
LCM of Denominators means LCM of 208,5337 as per the given fractions.
LCM of 208,5337 is 1110096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1425,8516
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1425
List of positive integer factors of 1425 that divides 1425 without a remainder.
1,3,5,15,19,25,57,75,95,285,475,1425
Factors of 8516
List of positive integer factors of 8516 that divides 8516 without a remainder.
1,2,4,2129,4258,8516
Greatest Common Factor
We found the factors 1425,8516 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,8516 is 1.
Lets's calculate LCM of 208,5337
Given numbers has no common factors except 1. So, there LCM is their product i.e 1110096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110096
Therefore, the GCF of Fractions 1425/208,8516/5337 is 1/1110096
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 208,5337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,5337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,5337) x common factors =1 x 1 = 1
LCM(208,5337) = ( 208 × 5337 ) / 1
LCM(208,5337) = 1110096 / 1
LCM(208,5337) = 1110096
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 1425/208, 8516/5337?
Answer: GCF of Numerators as per given numbers 1425/208, 8516/5337 is
GCF of Numerators i.e. for 1425,8516 is 1
LCM of denominators i.e. for 208,5337 is 1110096.
Thus, GCF of Fractions is 1/1110096.Finally, GCF of Fractions for 1425/208, 8516/5337 is 1/1110096.