Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9269/45,6206/242
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 9269,6206
Greatest Common Factor of Numerators i.e. GCF of 9269,6206 is 1 .
LCM of Denominators means LCM of 45,242 as per the given fractions.
LCM of 45,242 is 10890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9269,6206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9269
List of positive integer factors of 9269 that divides 9269 without a remainder.
1,13,23,31,299,403,713,9269
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 9269,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 9269,6206 is 1.
Lets's calculate LCM of 45,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 10890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10890
Therefore, the GCF of Fractions 9269/45,6206/242 is 1/10890
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 45,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,242) x common factors =1 x 1 = 1
LCM(45,242) = ( 45 × 242 ) / 1
LCM(45,242) = 10890 / 1
LCM(45,242) = 10890
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 9269/45, 6206/242?
Answer: GCF of Numerators as per given numbers 9269/45, 6206/242 is
GCF of Numerators i.e. for 9269,6206 is 1
LCM of denominators i.e. for 45,242 is 10890.
Thus, GCF of Fractions is 1/10890.Finally, GCF of Fractions for 9269/45, 6206/242 is 1/10890.