Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/157,9198/262
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 271,9198
Greatest Common Factor of Numerators i.e. GCF of 271,9198 is 1 .
LCM of Denominators means LCM of 157,262 as per the given fractions.
LCM of 157,262 is 41134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,9198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 9198
List of positive integer factors of 9198 that divides 9198 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Greatest Common Factor
We found the factors 271,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 271,9198 is 1.
Lets's calculate LCM of 157,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 41134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41134
Therefore, the GCF of Fractions 271/157,9198/262 is 1/41134
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 157,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,262) x common factors =1 x 1 = 1
LCM(157,262) = ( 157 × 262 ) / 1
LCM(157,262) = 41134 / 1
LCM(157,262) = 41134
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 271/157, 9198/262?
Answer: GCF of Numerators as per given numbers 271/157, 9198/262 is
GCF of Numerators i.e. for 271,9198 is 1
LCM of denominators i.e. for 157,262 is 41134.
Thus, GCF of Fractions is 1/41134.Finally, GCF of Fractions for 271/157, 9198/262 is 1/41134.