Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/229,609/330
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 292,609
Greatest Common Factor of Numerators i.e. GCF of 292,609 is 1 .
LCM of Denominators means LCM of 229,330 as per the given fractions.
LCM of 229,330 is 75570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 292,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 292,609 . The biggest common factor number is the GCF number.
So the greatest common factor 292,609 is 1.
Lets's calculate LCM of 229,330
Given numbers has no common factors except 1. So, there LCM is their product i.e 75570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75570
Therefore, the GCF of Fractions 292/229,609/330 is 1/75570
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 229,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,330) x common factors =1 x 1 = 1
LCM(229,330) = ( 229 × 330 ) / 1
LCM(229,330) = 75570 / 1
LCM(229,330) = 75570
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 292/229, 609/330?
Answer: GCF of Numerators as per given numbers 292/229, 609/330 is
GCF of Numerators i.e. for 292,609 is 1
LCM of denominators i.e. for 229,330 is 75570.
Thus, GCF of Fractions is 1/75570.Finally, GCF of Fractions for 292/229, 609/330 is 1/75570.