Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7375/53,3373/123
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 7375,3373
Greatest Common Factor of Numerators i.e. GCF of 7375,3373 is 1 .
LCM of Denominators means LCM of 53,123 as per the given fractions.
LCM of 53,123 is 6519 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7375,3373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7375
List of positive integer factors of 7375 that divides 7375 without a remainder.
1,5,25,59,125,295,1475,7375
Factors of 3373
List of positive integer factors of 3373 that divides 3373 without a remainder.
1,3373
Greatest Common Factor
We found the factors 7375,3373 . The biggest common factor number is the GCF number.
So the greatest common factor 7375,3373 is 1.
Lets's calculate LCM of 53,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 6519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6519
Therefore, the GCF of Fractions 7375/53,3373/123 is 1/6519
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 53,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,123) x common factors =1 x 1 = 1
LCM(53,123) = ( 53 × 123 ) / 1
LCM(53,123) = 6519 / 1
LCM(53,123) = 6519
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 7375/53, 3373/123?
Answer: GCF of Numerators as per given numbers 7375/53, 3373/123 is
GCF of Numerators i.e. for 7375,3373 is 1
LCM of denominators i.e. for 53,123 is 6519.
Thus, GCF of Fractions is 1/6519.Finally, GCF of Fractions for 7375/53, 3373/123 is 1/6519.