Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/855,6939/3116
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 72,6939
Greatest Common Factor of Numerators i.e. GCF of 72,6939 is 9 .
LCM of Denominators means LCM of 855,3116 as per the given fractions.
LCM of 855,3116 is 140220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,6939
3 | 72, 6939 |
3 | 24, 2313 |
8, 771 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 6939
List of positive integer factors of 6939 that divides 6939 without a remainder.
1,3,9,27,257,771,2313,6939
Greatest Common Factor
We found the factors 72,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6939 is 9.
Lets's calculate LCM of 855,3116
19 | 855, 3116 |
45, 164 |
∴ So the LCM of the given numbers is 19 x 45 x 164 = 140220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/140220
Therefore, the GCF of Fractions 72/855,6939/3116 is 9/140220
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 855,3116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,3116) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(855,3116) x common factors =19 x 1 = 19
LCM(855,3116) = ( 855 × 3116 ) / 19
LCM(855,3116) = 2664180 / 19
LCM(855,3116) = 140220
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 72/855, 6939/3116?
Answer: GCF of Numerators as per given numbers 72/855, 6939/3116 is
GCF of Numerators i.e. for 72,6939 is 9
LCM of denominators i.e. for 855,3116 is 140220.
Thus, GCF of Fractions is 9/140220.Finally, GCF of Fractions for 72/855, 6939/3116 is 9/140220.