Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/249,5657/205
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 875,5657
Greatest Common Factor of Numerators i.e. GCF of 875,5657 is 1 .
LCM of Denominators means LCM of 249,205 as per the given fractions.
LCM of 249,205 is 51045 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,5657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 5657
List of positive integer factors of 5657 that divides 5657 without a remainder.
1,5657
Greatest Common Factor
We found the factors 875,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 875,5657 is 1.
Lets's calculate LCM of 249,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 51045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51045
Therefore, the GCF of Fractions 875/249,5657/205 is 1/51045
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 249,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,205) x common factors =1 x 1 = 1
LCM(249,205) = ( 249 × 205 ) / 1
LCM(249,205) = 51045 / 1
LCM(249,205) = 51045
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 875/249, 5657/205?
Answer: GCF of Numerators as per given numbers 875/249, 5657/205 is
GCF of Numerators i.e. for 875,5657 is 1
LCM of denominators i.e. for 249,205 is 51045.
Thus, GCF of Fractions is 1/51045.Finally, GCF of Fractions for 875/249, 5657/205 is 1/51045.