Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/202,5362/143
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 279,5362
Greatest Common Factor of Numerators i.e. GCF of 279,5362 is 1 .
LCM of Denominators means LCM of 202,143 as per the given fractions.
LCM of 202,143 is 28886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,5362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 5362
List of positive integer factors of 5362 that divides 5362 without a remainder.
1,2,7,14,383,766,2681,5362
Greatest Common Factor
We found the factors 279,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 279,5362 is 1.
Lets's calculate LCM of 202,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 28886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28886
Therefore, the GCF of Fractions 279/202,5362/143 is 1/28886
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 202,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,143) x common factors =1 x 1 = 1
LCM(202,143) = ( 202 × 143 ) / 1
LCM(202,143) = 28886 / 1
LCM(202,143) = 28886
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 279/202, 5362/143?
Answer: GCF of Numerators as per given numbers 279/202, 5362/143 is
GCF of Numerators i.e. for 279,5362 is 1
LCM of denominators i.e. for 202,143 is 28886.
Thus, GCF of Fractions is 1/28886.Finally, GCF of Fractions for 279/202, 5362/143 is 1/28886.