Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3535/476,3447/9592
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 3535,3447
Greatest Common Factor of Numerators i.e. GCF of 3535,3447 is 1 .
LCM of Denominators means LCM of 476,9592 as per the given fractions.
LCM of 476,9592 is 1141448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3535,3447
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3535
List of positive integer factors of 3535 that divides 3535 without a remainder.
1,5,7,35,101,505,707,3535
Factors of 3447
List of positive integer factors of 3447 that divides 3447 without a remainder.
1,3,9,383,1149,3447
Greatest Common Factor
We found the factors 3535,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,3447 is 1.
Lets's calculate LCM of 476,9592
2 | 476, 9592 |
2 | 238, 4796 |
119, 2398 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 2398 = 1141448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141448
Therefore, the GCF of Fractions 3535/476,3447/9592 is 1/1141448
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 476,9592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,9592) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,9592) x common factors =4 x 1 = 4
LCM(476,9592) = ( 476 × 9592 ) / 4
LCM(476,9592) = 4565792 / 4
LCM(476,9592) = 1141448
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 3535/476, 3447/9592?
Answer: GCF of Numerators as per given numbers 3535/476, 3447/9592 is
GCF of Numerators i.e. for 3535,3447 is 1
LCM of denominators i.e. for 476,9592 is 1141448.
Thus, GCF of Fractions is 1/1141448.Finally, GCF of Fractions for 3535/476, 3447/9592 is 1/1141448.