Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9796/433,6291/9444
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 9796,6291
Greatest Common Factor of Numerators i.e. GCF of 9796,6291 is 1 .
LCM of Denominators means LCM of 433,9444 as per the given fractions.
LCM of 433,9444 is 4089252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9796,6291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9796
List of positive integer factors of 9796 that divides 9796 without a remainder.
1,2,4,31,62,79,124,158,316,2449,4898,9796
Factors of 6291
List of positive integer factors of 6291 that divides 6291 without a remainder.
1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 9796,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 9796,6291 is 1.
Lets's calculate LCM of 433,9444
Given numbers has no common factors except 1. So, there LCM is their product i.e 4089252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4089252
Therefore, the GCF of Fractions 9796/433,6291/9444 is 1/4089252
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 433,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,9444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,9444) x common factors =1 x 1 = 1
LCM(433,9444) = ( 433 × 9444 ) / 1
LCM(433,9444) = 4089252 / 1
LCM(433,9444) = 4089252
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 9796/433, 6291/9444?
Answer: GCF of Numerators as per given numbers 9796/433, 6291/9444 is
GCF of Numerators i.e. for 9796,6291 is 1
LCM of denominators i.e. for 433,9444 is 4089252.
Thus, GCF of Fractions is 1/4089252.Finally, GCF of Fractions for 9796/433, 6291/9444 is 1/4089252.