Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2273/45,9728/526
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 2273,9728
Greatest Common Factor of Numerators i.e. GCF of 2273,9728 is 1 .
LCM of Denominators means LCM of 45,526 as per the given fractions.
LCM of 45,526 is 23670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2273,9728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2273
List of positive integer factors of 2273 that divides 2273 without a remainder.
1,2273
Factors of 9728
List of positive integer factors of 9728 that divides 9728 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors 2273,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 2273,9728 is 1.
Lets's calculate LCM of 45,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 23670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23670
Therefore, the GCF of Fractions 2273/45,9728/526 is 1/23670
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 45,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,526) x common factors =1 x 1 = 1
LCM(45,526) = ( 45 × 526 ) / 1
LCM(45,526) = 23670 / 1
LCM(45,526) = 23670
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 2273/45, 9728/526?
Answer: GCF of Numerators as per given numbers 2273/45, 9728/526 is
GCF of Numerators i.e. for 2273,9728 is 1
LCM of denominators i.e. for 45,526 is 23670.
Thus, GCF of Fractions is 1/23670.Finally, GCF of Fractions for 2273/45, 9728/526 is 1/23670.