Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 645/881,9999/504
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 645,9999
Greatest Common Factor of Numerators i.e. GCF of 645,9999 is 3 .
LCM of Denominators means LCM of 881,504 as per the given fractions.
LCM of 881,504 is 444024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 645,9999
3 | 645, 9999 |
215, 3333 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 9999
List of positive integer factors of 9999 that divides 9999 without a remainder.
1,3,9,11,33,99,101,303,909,1111,3333,9999
Greatest Common Factor
We found the factors 645,9999 . The biggest common factor number is the GCF number.
So the greatest common factor 645,9999 is 3.
Lets's calculate LCM of 881,504
Given numbers has no common factors except 1. So, there LCM is their product i.e 444024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/444024
Therefore, the GCF of Fractions 645/881,9999/504 is 3/444024
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 881,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,504) x common factors =1 x 1 = 1
LCM(881,504) = ( 881 × 504 ) / 1
LCM(881,504) = 444024 / 1
LCM(881,504) = 444024
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 645/881, 9999/504?
Answer: GCF of Numerators as per given numbers 645/881, 9999/504 is
GCF of Numerators i.e. for 645,9999 is 3
LCM of denominators i.e. for 881,504 is 444024.
Thus, GCF of Fractions is 3/444024.Finally, GCF of Fractions for 645/881, 9999/504 is 3/444024.