Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1877/635,2483/6504
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 1877,2483
Greatest Common Factor of Numerators i.e. GCF of 1877,2483 is 1 .
LCM of Denominators means LCM of 635,6504 as per the given fractions.
LCM of 635,6504 is 4130040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1877,2483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1877
List of positive integer factors of 1877 that divides 1877 without a remainder.
1,1877
Factors of 2483
List of positive integer factors of 2483 that divides 2483 without a remainder.
1,13,191,2483
Greatest Common Factor
We found the factors 1877,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 1877,2483 is 1.
Lets's calculate LCM of 635,6504
Given numbers has no common factors except 1. So, there LCM is their product i.e 4130040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4130040
Therefore, the GCF of Fractions 1877/635,2483/6504 is 1/4130040
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 635,6504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,6504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,6504) x common factors =1 x 1 = 1
LCM(635,6504) = ( 635 × 6504 ) / 1
LCM(635,6504) = 4130040 / 1
LCM(635,6504) = 4130040
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 1877/635, 2483/6504?
Answer: GCF of Numerators as per given numbers 1877/635, 2483/6504 is
GCF of Numerators i.e. for 1877,2483 is 1
LCM of denominators i.e. for 635,6504 is 4130040.
Thus, GCF of Fractions is 1/4130040.Finally, GCF of Fractions for 1877/635, 2483/6504 is 1/4130040.