Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5002/144,1345/5245
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 5002,1345
Greatest Common Factor of Numerators i.e. GCF of 5002,1345 is 1 .
LCM of Denominators means LCM of 144,5245 as per the given fractions.
LCM of 144,5245 is 755280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5002,1345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5002
List of positive integer factors of 5002 that divides 5002 without a remainder.
1,2,41,61,82,122,2501,5002
Factors of 1345
List of positive integer factors of 1345 that divides 1345 without a remainder.
1,5,269,1345
Greatest Common Factor
We found the factors 5002,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 5002,1345 is 1.
Lets's calculate LCM of 144,5245
Given numbers has no common factors except 1. So, there LCM is their product i.e 755280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755280
Therefore, the GCF of Fractions 5002/144,1345/5245 is 1/755280
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 144,5245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,5245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,5245) x common factors =1 x 1 = 1
LCM(144,5245) = ( 144 × 5245 ) / 1
LCM(144,5245) = 755280 / 1
LCM(144,5245) = 755280
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 5002/144, 1345/5245?
Answer: GCF of Numerators as per given numbers 5002/144, 1345/5245 is
GCF of Numerators i.e. for 5002,1345 is 1
LCM of denominators i.e. for 144,5245 is 755280.
Thus, GCF of Fractions is 1/755280.Finally, GCF of Fractions for 5002/144, 1345/5245 is 1/755280.