Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6495/552,3090/388
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 6495,3090
Greatest Common Factor of Numerators i.e. GCF of 6495,3090 is 15 .
LCM of Denominators means LCM of 552,388 as per the given fractions.
LCM of 552,388 is 53544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6495,3090
3 | 6495, 3090 |
5 | 2165, 1030 |
433, 206 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6495
List of positive integer factors of 6495 that divides 6495 without a remainder.
1,3,5,15,433,1299,2165,6495
Factors of 3090
List of positive integer factors of 3090 that divides 3090 without a remainder.
1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Greatest Common Factor
We found the factors 6495,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,3090 is 15.
Lets's calculate LCM of 552,388
2 | 552, 388 |
2 | 276, 194 |
138, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 138 x 97 = 53544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/53544
Therefore, the GCF of Fractions 6495/552,3090/388 is 15/53544
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 552,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(552,388) x common factors =4 x 1 = 4
LCM(552,388) = ( 552 × 388 ) / 4
LCM(552,388) = 214176 / 4
LCM(552,388) = 53544
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 6495/552, 3090/388?
Answer: GCF of Numerators as per given numbers 6495/552, 3090/388 is
GCF of Numerators i.e. for 6495,3090 is 15
LCM of denominators i.e. for 552,388 is 53544.
Thus, GCF of Fractions is 15/53544.Finally, GCF of Fractions for 6495/552, 3090/388 is 15/53544.