Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6115/748,6560/110
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 6115,6560
Greatest Common Factor of Numerators i.e. GCF of 6115,6560 is 5 .
LCM of Denominators means LCM of 748,110 as per the given fractions.
LCM of 748,110 is 3740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6115,6560
5 | 6115, 6560 |
1223, 1312 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6115
List of positive integer factors of 6115 that divides 6115 without a remainder.
1,5,1223,6115
Factors of 6560
List of positive integer factors of 6560 that divides 6560 without a remainder.
1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Greatest Common Factor
We found the factors 6115,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 6115,6560 is 5.
Lets's calculate LCM of 748,110
2 | 748, 110 |
11 | 374, 55 |
34, 5 |
∴ So the LCM of the given numbers is 2 x 11 x 34 x 5 = 3740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3740
Therefore, the GCF of Fractions 6115/748,6560/110 is 5/3740
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 748,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,110) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(748,110) x common factors =22 x 1 = 22
LCM(748,110) = ( 748 × 110 ) / 22
LCM(748,110) = 82280 / 22
LCM(748,110) = 3740
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 6115/748, 6560/110?
Answer: GCF of Numerators as per given numbers 6115/748, 6560/110 is
GCF of Numerators i.e. for 6115,6560 is 5
LCM of denominators i.e. for 748,110 is 3740.
Thus, GCF of Fractions is 5/3740.Finally, GCF of Fractions for 6115/748, 6560/110 is 5/3740.