Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2437/359,1507/4554
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 2437,1507
Greatest Common Factor of Numerators i.e. GCF of 2437,1507 is 1 .
LCM of Denominators means LCM of 359,4554 as per the given fractions.
LCM of 359,4554 is 1634886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2437,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2437
List of positive integer factors of 2437 that divides 2437 without a remainder.
1,2437
Factors of 1507
List of positive integer factors of 1507 that divides 1507 without a remainder.
1,11,137,1507
Greatest Common Factor
We found the factors 2437,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 2437,1507 is 1.
Lets's calculate LCM of 359,4554
Given numbers has no common factors except 1. So, there LCM is their product i.e 1634886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1634886
Therefore, the GCF of Fractions 2437/359,1507/4554 is 1/1634886
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 359,4554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,4554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,4554) x common factors =1 x 1 = 1
LCM(359,4554) = ( 359 × 4554 ) / 1
LCM(359,4554) = 1634886 / 1
LCM(359,4554) = 1634886
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 2437/359, 1507/4554?
Answer: GCF of Numerators as per given numbers 2437/359, 1507/4554 is
GCF of Numerators i.e. for 2437,1507 is 1
LCM of denominators i.e. for 359,4554 is 1634886.
Thus, GCF of Fractions is 1/1634886.Finally, GCF of Fractions for 2437/359, 1507/4554 is 1/1634886.