Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9659/988,9040/511
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 9659,9040
Greatest Common Factor of Numerators i.e. GCF of 9659,9040 is 1 .
LCM of Denominators means LCM of 988,511 as per the given fractions.
LCM of 988,511 is 504868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9659,9040
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9659
List of positive integer factors of 9659 that divides 9659 without a remainder.
1,13,743,9659
Factors of 9040
List of positive integer factors of 9040 that divides 9040 without a remainder.
1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 9659,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 9659,9040 is 1.
Lets's calculate LCM of 988,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 504868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504868
Therefore, the GCF of Fractions 9659/988,9040/511 is 1/504868
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 988,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,511) x common factors =1 x 1 = 1
LCM(988,511) = ( 988 × 511 ) / 1
LCM(988,511) = 504868 / 1
LCM(988,511) = 504868
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 9659/988, 9040/511?
Answer: GCF of Numerators as per given numbers 9659/988, 9040/511 is
GCF of Numerators i.e. for 9659,9040 is 1
LCM of denominators i.e. for 988,511 is 504868.
Thus, GCF of Fractions is 1/504868.Finally, GCF of Fractions for 9659/988, 9040/511 is 1/504868.