Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1579/607,6123/8373
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 1579,6123
Greatest Common Factor of Numerators i.e. GCF of 1579,6123 is 1 .
LCM of Denominators means LCM of 607,8373 as per the given fractions.
LCM of 607,8373 is 5082411 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1579,6123
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1579
List of positive integer factors of 1579 that divides 1579 without a remainder.
1,1579
Factors of 6123
List of positive integer factors of 6123 that divides 6123 without a remainder.
1,3,13,39,157,471,2041,6123
Greatest Common Factor
We found the factors 1579,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,6123 is 1.
Lets's calculate LCM of 607,8373
Given numbers has no common factors except 1. So, there LCM is their product i.e 5082411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5082411
Therefore, the GCF of Fractions 1579/607,6123/8373 is 1/5082411
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 607,8373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,8373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,8373) x common factors =1 x 1 = 1
LCM(607,8373) = ( 607 × 8373 ) / 1
LCM(607,8373) = 5082411 / 1
LCM(607,8373) = 5082411
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 1579/607, 6123/8373?
Answer: GCF of Numerators as per given numbers 1579/607, 6123/8373 is
GCF of Numerators i.e. for 1579,6123 is 1
LCM of denominators i.e. for 607,8373 is 5082411.
Thus, GCF of Fractions is 1/5082411.Finally, GCF of Fractions for 1579/607, 6123/8373 is 1/5082411.