Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4064/404,4419/6750
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 4064,4419
Greatest Common Factor of Numerators i.e. GCF of 4064,4419 is 1 .
LCM of Denominators means LCM of 404,6750 as per the given fractions.
LCM of 404,6750 is 1363500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4064,4419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4064
List of positive integer factors of 4064 that divides 4064 without a remainder.
1,2,4,8,16,32,127,254,508,1016,2032,4064
Factors of 4419
List of positive integer factors of 4419 that divides 4419 without a remainder.
1,3,9,491,1473,4419
Greatest Common Factor
We found the factors 4064,4419 . The biggest common factor number is the GCF number.
So the greatest common factor 4064,4419 is 1.
Lets's calculate LCM of 404,6750
2 | 404, 6750 |
202, 3375 |
∴ So the LCM of the given numbers is 2 x 202 x 3375 = 1363500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1363500
Therefore, the GCF of Fractions 4064/404,4419/6750 is 1/1363500
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 404,6750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,6750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,6750) x common factors =2 x 1 = 2
LCM(404,6750) = ( 404 × 6750 ) / 2
LCM(404,6750) = 2727000 / 2
LCM(404,6750) = 1363500
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 4064/404, 4419/6750?
Answer: GCF of Numerators as per given numbers 4064/404, 4419/6750 is
GCF of Numerators i.e. for 4064,4419 is 1
LCM of denominators i.e. for 404,6750 is 1363500.
Thus, GCF of Fractions is 1/1363500.Finally, GCF of Fractions for 4064/404, 4419/6750 is 1/1363500.