Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9116/61,3596/707
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 9116,3596
Greatest Common Factor of Numerators i.e. GCF of 9116,3596 is 4 .
LCM of Denominators means LCM of 61,707 as per the given fractions.
LCM of 61,707 is 43127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9116,3596
2 | 9116, 3596 |
2 | 4558, 1798 |
2279, 899 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9116
List of positive integer factors of 9116 that divides 9116 without a remainder.
1,2,4,43,53,86,106,172,212,2279,4558,9116
Factors of 3596
List of positive integer factors of 3596 that divides 3596 without a remainder.
1,2,4,29,31,58,62,116,124,899,1798,3596
Greatest Common Factor
We found the factors 9116,3596 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,3596 is 4.
Lets's calculate LCM of 61,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 43127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/43127
Therefore, the GCF of Fractions 9116/61,3596/707 is 4/43127
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 61,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,707) x common factors =1 x 1 = 1
LCM(61,707) = ( 61 × 707 ) / 1
LCM(61,707) = 43127 / 1
LCM(61,707) = 43127
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 9116/61, 3596/707?
Answer: GCF of Numerators as per given numbers 9116/61, 3596/707 is
GCF of Numerators i.e. for 9116,3596 is 4
LCM of denominators i.e. for 61,707 is 43127.
Thus, GCF of Fractions is 4/43127.Finally, GCF of Fractions for 9116/61, 3596/707 is 4/43127.