Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/570,92/4367
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 73,92
Greatest Common Factor of Numerators i.e. GCF of 73,92 is 1 .
LCM of Denominators means LCM of 570,4367 as per the given fractions.
LCM of 570,4367 is 2489190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,92
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 73,92 . The biggest common factor number is the GCF number.
So the greatest common factor 73,92 is 1.
Lets's calculate LCM of 570,4367
Given numbers has no common factors except 1. So, there LCM is their product i.e 2489190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489190
Therefore, the GCF of Fractions 73/570,92/4367 is 1/2489190
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 570,4367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,4367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(570,4367) x common factors =1 x 1 = 1
LCM(570,4367) = ( 570 × 4367 ) / 1
LCM(570,4367) = 2489190 / 1
LCM(570,4367) = 2489190
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 73/570, 92/4367?
Answer: GCF of Numerators as per given numbers 73/570, 92/4367 is
GCF of Numerators i.e. for 73,92 is 1
LCM of denominators i.e. for 570,4367 is 2489190.
Thus, GCF of Fractions is 1/2489190.Finally, GCF of Fractions for 73/570, 92/4367 is 1/2489190.