Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1625/638,5531/6045
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 1625,5531
Greatest Common Factor of Numerators i.e. GCF of 1625,5531 is 1 .
LCM of Denominators means LCM of 638,6045 as per the given fractions.
LCM of 638,6045 is 3856710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1625,5531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1625
List of positive integer factors of 1625 that divides 1625 without a remainder.
1,5,13,25,65,125,325,1625
Factors of 5531
List of positive integer factors of 5531 that divides 5531 without a remainder.
1,5531
Greatest Common Factor
We found the factors 1625,5531 . The biggest common factor number is the GCF number.
So the greatest common factor 1625,5531 is 1.
Lets's calculate LCM of 638,6045
Given numbers has no common factors except 1. So, there LCM is their product i.e 3856710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3856710
Therefore, the GCF of Fractions 1625/638,5531/6045 is 1/3856710
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 638,6045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,6045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,6045) x common factors =1 x 1 = 1
LCM(638,6045) = ( 638 × 6045 ) / 1
LCM(638,6045) = 3856710 / 1
LCM(638,6045) = 3856710
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 1625/638, 5531/6045?
Answer: GCF of Numerators as per given numbers 1625/638, 5531/6045 is
GCF of Numerators i.e. for 1625,5531 is 1
LCM of denominators i.e. for 638,6045 is 3856710.
Thus, GCF of Fractions is 1/3856710.Finally, GCF of Fractions for 1625/638, 5531/6045 is 1/3856710.