Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9186/32,7520/101
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 9186,7520
Greatest Common Factor of Numerators i.e. GCF of 9186,7520 is 2 .
LCM of Denominators means LCM of 32,101 as per the given fractions.
LCM of 32,101 is 3232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9186,7520
2 | 9186, 7520 |
4593, 3760 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9186
List of positive integer factors of 9186 that divides 9186 without a remainder.
1,2,3,6,1531,3062,4593,9186
Factors of 7520
List of positive integer factors of 7520 that divides 7520 without a remainder.
1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520
Greatest Common Factor
We found the factors 9186,7520 . The biggest common factor number is the GCF number.
So the greatest common factor 9186,7520 is 2.
Lets's calculate LCM of 32,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 3232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3232
Therefore, the GCF of Fractions 9186/32,7520/101 is 2/3232
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 32,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,101) x common factors =1 x 1 = 1
LCM(32,101) = ( 32 × 101 ) / 1
LCM(32,101) = 3232 / 1
LCM(32,101) = 3232
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 9186/32, 7520/101?
Answer: GCF of Numerators as per given numbers 9186/32, 7520/101 is
GCF of Numerators i.e. for 9186,7520 is 2
LCM of denominators i.e. for 32,101 is 3232.
Thus, GCF of Fractions is 2/3232.Finally, GCF of Fractions for 9186/32, 7520/101 is 2/3232.