Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4681/125,9769/1329
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 4681,9769
Greatest Common Factor of Numerators i.e. GCF of 4681,9769 is 1 .
LCM of Denominators means LCM of 125,1329 as per the given fractions.
LCM of 125,1329 is 166125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4681,9769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4681
List of positive integer factors of 4681 that divides 4681 without a remainder.
1,31,151,4681
Factors of 9769
List of positive integer factors of 9769 that divides 9769 without a remainder.
1,9769
Greatest Common Factor
We found the factors 4681,9769 . The biggest common factor number is the GCF number.
So the greatest common factor 4681,9769 is 1.
Lets's calculate LCM of 125,1329
Given numbers has no common factors except 1. So, there LCM is their product i.e 166125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166125
Therefore, the GCF of Fractions 4681/125,9769/1329 is 1/166125
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 125,1329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,1329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,1329) x common factors =1 x 1 = 1
LCM(125,1329) = ( 125 × 1329 ) / 1
LCM(125,1329) = 166125 / 1
LCM(125,1329) = 166125
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 4681/125, 9769/1329?
Answer: GCF of Numerators as per given numbers 4681/125, 9769/1329 is
GCF of Numerators i.e. for 4681,9769 is 1
LCM of denominators i.e. for 125,1329 is 166125.
Thus, GCF of Fractions is 1/166125.Finally, GCF of Fractions for 4681/125, 9769/1329 is 1/166125.