Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/52,633/7159
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 373,633
Greatest Common Factor of Numerators i.e. GCF of 373,633 is 1 .
LCM of Denominators means LCM of 52,7159 as per the given fractions.
LCM of 52,7159 is 372268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 373,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 373,633 . The biggest common factor number is the GCF number.
So the greatest common factor 373,633 is 1.
Lets's calculate LCM of 52,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 372268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372268
Therefore, the GCF of Fractions 373/52,633/7159 is 1/372268
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 52,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,7159) x common factors =1 x 1 = 1
LCM(52,7159) = ( 52 × 7159 ) / 1
LCM(52,7159) = 372268 / 1
LCM(52,7159) = 372268
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 373/52, 633/7159?
Answer: GCF of Numerators as per given numbers 373/52, 633/7159 is
GCF of Numerators i.e. for 373,633 is 1
LCM of denominators i.e. for 52,7159 is 372268.
Thus, GCF of Fractions is 1/372268.Finally, GCF of Fractions for 373/52, 633/7159 is 1/372268.