Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/749,60/3031
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 95,60
Greatest Common Factor of Numerators i.e. GCF of 95,60 is 5 .
LCM of Denominators means LCM of 749,3031 as per the given fractions.
LCM of 749,3031 is 324317 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,60
5 | 95, 60 |
19, 12 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 95,60 . The biggest common factor number is the GCF number.
So the greatest common factor 95,60 is 5.
Lets's calculate LCM of 749,3031
7 | 749, 3031 |
107, 433 |
∴ So the LCM of the given numbers is 7 x 107 x 433 = 324317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/324317
Therefore, the GCF of Fractions 95/749,60/3031 is 5/324317
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 749,3031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,3031) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,3031) x common factors =7 x 1 = 7
LCM(749,3031) = ( 749 × 3031 ) / 7
LCM(749,3031) = 2270219 / 7
LCM(749,3031) = 324317
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 95/749, 60/3031?
Answer: GCF of Numerators as per given numbers 95/749, 60/3031 is
GCF of Numerators i.e. for 95,60 is 5
LCM of denominators i.e. for 749,3031 is 324317.
Thus, GCF of Fractions is 5/324317.Finally, GCF of Fractions for 95/749, 60/3031 is 5/324317.