Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6970/129,9633/7991
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 6970,9633
Greatest Common Factor of Numerators i.e. GCF of 6970,9633 is 1 .
LCM of Denominators means LCM of 129,7991 as per the given fractions.
LCM of 129,7991 is 1030839 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6970,9633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6970
List of positive integer factors of 6970 that divides 6970 without a remainder.
1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Factors of 9633
List of positive integer factors of 9633 that divides 9633 without a remainder.
1,3,13,19,39,57,169,247,507,741,3211,9633
Greatest Common Factor
We found the factors 6970,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,9633 is 1.
Lets's calculate LCM of 129,7991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1030839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1030839
Therefore, the GCF of Fractions 6970/129,9633/7991 is 1/1030839
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 129,7991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,7991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,7991) x common factors =1 x 1 = 1
LCM(129,7991) = ( 129 × 7991 ) / 1
LCM(129,7991) = 1030839 / 1
LCM(129,7991) = 1030839
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 6970/129, 9633/7991?
Answer: GCF of Numerators as per given numbers 6970/129, 9633/7991 is
GCF of Numerators i.e. for 6970,9633 is 1
LCM of denominators i.e. for 129,7991 is 1030839.
Thus, GCF of Fractions is 1/1030839.Finally, GCF of Fractions for 6970/129, 9633/7991 is 1/1030839.