Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6630/129,8025/131
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 6630,8025
Greatest Common Factor of Numerators i.e. GCF of 6630,8025 is 15 .
LCM of Denominators means LCM of 129,131 as per the given fractions.
LCM of 129,131 is 16899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6630,8025
3 | 6630, 8025 |
5 | 2210, 2675 |
442, 535 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6630
List of positive integer factors of 6630 that divides 6630 without a remainder.
1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Factors of 8025
List of positive integer factors of 8025 that divides 8025 without a remainder.
1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors 6630,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 6630,8025 is 15.
Lets's calculate LCM of 129,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 16899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/16899
Therefore, the GCF of Fractions 6630/129,8025/131 is 15/16899
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 129,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,131) x common factors =1 x 1 = 1
LCM(129,131) = ( 129 × 131 ) / 1
LCM(129,131) = 16899 / 1
LCM(129,131) = 16899
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 6630/129, 8025/131?
Answer: GCF of Numerators as per given numbers 6630/129, 8025/131 is
GCF of Numerators i.e. for 6630,8025 is 15
LCM of denominators i.e. for 129,131 is 16899.
Thus, GCF of Fractions is 15/16899.Finally, GCF of Fractions for 6630/129, 8025/131 is 15/16899.