Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/202,6893/869
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 253,6893
Greatest Common Factor of Numerators i.e. GCF of 253,6893 is 1 .
LCM of Denominators means LCM of 202,869 as per the given fractions.
LCM of 202,869 is 175538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 253,6893
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 6893
List of positive integer factors of 6893 that divides 6893 without a remainder.
1,61,113,6893
Greatest Common Factor
We found the factors 253,6893 . The biggest common factor number is the GCF number.
So the greatest common factor 253,6893 is 1.
Lets's calculate LCM of 202,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 175538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175538
Therefore, the GCF of Fractions 253/202,6893/869 is 1/175538
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 202,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,869) x common factors =1 x 1 = 1
LCM(202,869) = ( 202 × 869 ) / 1
LCM(202,869) = 175538 / 1
LCM(202,869) = 175538
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 253/202, 6893/869?
Answer: GCF of Numerators as per given numbers 253/202, 6893/869 is
GCF of Numerators i.e. for 253,6893 is 1
LCM of denominators i.e. for 202,869 is 175538.
Thus, GCF of Fractions is 1/175538.Finally, GCF of Fractions for 253/202, 6893/869 is 1/175538.