Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9711/117,7536/5554
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 9711,7536
Greatest Common Factor of Numerators i.e. GCF of 9711,7536 is 3 .
LCM of Denominators means LCM of 117,5554 as per the given fractions.
LCM of 117,5554 is 649818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9711,7536
3 | 9711, 7536 |
3237, 2512 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9711
List of positive integer factors of 9711 that divides 9711 without a remainder.
1,3,9,13,39,83,117,249,747,1079,3237,9711
Factors of 7536
List of positive integer factors of 7536 that divides 7536 without a remainder.
1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 9711,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,7536 is 3.
Lets's calculate LCM of 117,5554
Given numbers has no common factors except 1. So, there LCM is their product i.e 649818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/649818
Therefore, the GCF of Fractions 9711/117,7536/5554 is 3/649818
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 117,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,5554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,5554) x common factors =1 x 1 = 1
LCM(117,5554) = ( 117 × 5554 ) / 1
LCM(117,5554) = 649818 / 1
LCM(117,5554) = 649818
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 9711/117, 7536/5554?
Answer: GCF of Numerators as per given numbers 9711/117, 7536/5554 is
GCF of Numerators i.e. for 9711,7536 is 3
LCM of denominators i.e. for 117,5554 is 649818.
Thus, GCF of Fractions is 3/649818.Finally, GCF of Fractions for 9711/117, 7536/5554 is 3/649818.