Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2253/73,9346/321
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 2253,9346
Greatest Common Factor of Numerators i.e. GCF of 2253,9346 is 1 .
LCM of Denominators means LCM of 73,321 as per the given fractions.
LCM of 73,321 is 23433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2253,9346
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2253
List of positive integer factors of 2253 that divides 2253 without a remainder.
1,3,751,2253
Factors of 9346
List of positive integer factors of 9346 that divides 9346 without a remainder.
1,2,4673,9346
Greatest Common Factor
We found the factors 2253,9346 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,9346 is 1.
Lets's calculate LCM of 73,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 23433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23433
Therefore, the GCF of Fractions 2253/73,9346/321 is 1/23433
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 73,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,321) x common factors =1 x 1 = 1
LCM(73,321) = ( 73 × 321 ) / 1
LCM(73,321) = 23433 / 1
LCM(73,321) = 23433
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 2253/73, 9346/321?
Answer: GCF of Numerators as per given numbers 2253/73, 9346/321 is
GCF of Numerators i.e. for 2253,9346 is 1
LCM of denominators i.e. for 73,321 is 23433.
Thus, GCF of Fractions is 1/23433.Finally, GCF of Fractions for 2253/73, 9346/321 is 1/23433.