Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 138/873,1399/617
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 138,1399
Greatest Common Factor of Numerators i.e. GCF of 138,1399 is 1 .
LCM of Denominators means LCM of 873,617 as per the given fractions.
LCM of 873,617 is 538641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 138,1399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 1399
List of positive integer factors of 1399 that divides 1399 without a remainder.
1,1399
Greatest Common Factor
We found the factors 138,1399 . The biggest common factor number is the GCF number.
So the greatest common factor 138,1399 is 1.
Lets's calculate LCM of 873,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 538641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538641
Therefore, the GCF of Fractions 138/873,1399/617 is 1/538641
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 873,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,617) x common factors =1 x 1 = 1
LCM(873,617) = ( 873 × 617 ) / 1
LCM(873,617) = 538641 / 1
LCM(873,617) = 538641
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 138/873, 1399/617?
Answer: GCF of Numerators as per given numbers 138/873, 1399/617 is
GCF of Numerators i.e. for 138,1399 is 1
LCM of denominators i.e. for 873,617 is 538641.
Thus, GCF of Fractions is 1/538641.Finally, GCF of Fractions for 138/873, 1399/617 is 1/538641.