Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4999/182,3009/6465
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 4999,3009
Greatest Common Factor of Numerators i.e. GCF of 4999,3009 is 1 .
LCM of Denominators means LCM of 182,6465 as per the given fractions.
LCM of 182,6465 is 1176630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4999,3009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4999
List of positive integer factors of 4999 that divides 4999 without a remainder.
1,4999
Factors of 3009
List of positive integer factors of 3009 that divides 3009 without a remainder.
1,3,17,51,59,177,1003,3009
Greatest Common Factor
We found the factors 4999,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 4999,3009 is 1.
Lets's calculate LCM of 182,6465
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176630
Therefore, the GCF of Fractions 4999/182,3009/6465 is 1/1176630
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 182,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,6465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,6465) x common factors =1 x 1 = 1
LCM(182,6465) = ( 182 × 6465 ) / 1
LCM(182,6465) = 1176630 / 1
LCM(182,6465) = 1176630
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 4999/182, 3009/6465?
Answer: GCF of Numerators as per given numbers 4999/182, 3009/6465 is
GCF of Numerators i.e. for 4999,3009 is 1
LCM of denominators i.e. for 182,6465 is 1176630.
Thus, GCF of Fractions is 1/1176630.Finally, GCF of Fractions for 4999/182, 3009/6465 is 1/1176630.