Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1975/621,2136/9437
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 1975,2136
Greatest Common Factor of Numerators i.e. GCF of 1975,2136 is 1 .
LCM of Denominators means LCM of 621,9437 as per the given fractions.
LCM of 621,9437 is 5860377 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1975,2136
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1975
List of positive integer factors of 1975 that divides 1975 without a remainder.
1,5,25,79,395,1975
Factors of 2136
List of positive integer factors of 2136 that divides 2136 without a remainder.
1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors 1975,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,2136 is 1.
Lets's calculate LCM of 621,9437
Given numbers has no common factors except 1. So, there LCM is their product i.e 5860377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5860377
Therefore, the GCF of Fractions 1975/621,2136/9437 is 1/5860377
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 621,9437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,9437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,9437) x common factors =1 x 1 = 1
LCM(621,9437) = ( 621 × 9437 ) / 1
LCM(621,9437) = 5860377 / 1
LCM(621,9437) = 5860377
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 1975/621, 2136/9437?
Answer: GCF of Numerators as per given numbers 1975/621, 2136/9437 is
GCF of Numerators i.e. for 1975,2136 is 1
LCM of denominators i.e. for 621,9437 is 5860377.
Thus, GCF of Fractions is 1/5860377.Finally, GCF of Fractions for 1975/621, 2136/9437 is 1/5860377.