Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/703,9926/4561
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 20,9926
Greatest Common Factor of Numerators i.e. GCF of 20,9926 is 2 .
LCM of Denominators means LCM of 703,4561 as per the given fractions.
LCM of 703,4561 is 3206383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,9926
2 | 20, 9926 |
10, 4963 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 9926
List of positive integer factors of 9926 that divides 9926 without a remainder.
1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 20,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 20,9926 is 2.
Lets's calculate LCM of 703,4561
Given numbers has no common factors except 1. So, there LCM is their product i.e 3206383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3206383
Therefore, the GCF of Fractions 20/703,9926/4561 is 2/3206383
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 703,4561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,4561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,4561) x common factors =1 x 1 = 1
LCM(703,4561) = ( 703 × 4561 ) / 1
LCM(703,4561) = 3206383 / 1
LCM(703,4561) = 3206383
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 20/703, 9926/4561?
Answer: GCF of Numerators as per given numbers 20/703, 9926/4561 is
GCF of Numerators i.e. for 20,9926 is 2
LCM of denominators i.e. for 703,4561 is 3206383.
Thus, GCF of Fractions is 2/3206383.Finally, GCF of Fractions for 20/703, 9926/4561 is 2/3206383.