Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5245/157,9879/4301
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 5245,9879
Greatest Common Factor of Numerators i.e. GCF of 5245,9879 is 1 .
LCM of Denominators means LCM of 157,4301 as per the given fractions.
LCM of 157,4301 is 675257 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5245,9879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5245
List of positive integer factors of 5245 that divides 5245 without a remainder.
1,5,1049,5245
Factors of 9879
List of positive integer factors of 9879 that divides 9879 without a remainder.
1,3,37,89,111,267,3293,9879
Greatest Common Factor
We found the factors 5245,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 5245,9879 is 1.
Lets's calculate LCM of 157,4301
Given numbers has no common factors except 1. So, there LCM is their product i.e 675257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675257
Therefore, the GCF of Fractions 5245/157,9879/4301 is 1/675257
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 157,4301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,4301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,4301) x common factors =1 x 1 = 1
LCM(157,4301) = ( 157 × 4301 ) / 1
LCM(157,4301) = 675257 / 1
LCM(157,4301) = 675257
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 5245/157, 9879/4301?
Answer: GCF of Numerators as per given numbers 5245/157, 9879/4301 is
GCF of Numerators i.e. for 5245,9879 is 1
LCM of denominators i.e. for 157,4301 is 675257.
Thus, GCF of Fractions is 1/675257.Finally, GCF of Fractions for 5245/157, 9879/4301 is 1/675257.