Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4583/58,1669/577
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 4583,1669
Greatest Common Factor of Numerators i.e. GCF of 4583,1669 is 1 .
LCM of Denominators means LCM of 58,577 as per the given fractions.
LCM of 58,577 is 33466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4583,1669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4583
List of positive integer factors of 4583 that divides 4583 without a remainder.
1,4583
Factors of 1669
List of positive integer factors of 1669 that divides 1669 without a remainder.
1,1669
Greatest Common Factor
We found the factors 4583,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 4583,1669 is 1.
Lets's calculate LCM of 58,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 33466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33466
Therefore, the GCF of Fractions 4583/58,1669/577 is 1/33466
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 58,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,577) x common factors =1 x 1 = 1
LCM(58,577) = ( 58 × 577 ) / 1
LCM(58,577) = 33466 / 1
LCM(58,577) = 33466
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 4583/58, 1669/577?
Answer: GCF of Numerators as per given numbers 4583/58, 1669/577 is
GCF of Numerators i.e. for 4583,1669 is 1
LCM of denominators i.e. for 58,577 is 33466.
Thus, GCF of Fractions is 1/33466.Finally, GCF of Fractions for 4583/58, 1669/577 is 1/33466.