Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/304,8084/371
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 129,8084
Greatest Common Factor of Numerators i.e. GCF of 129,8084 is 43 .
LCM of Denominators means LCM of 304,371 as per the given fractions.
LCM of 304,371 is 112784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,8084
43 | 129, 8084 |
3, 188 |
∴ So the GCF of the given numbers is 43 = 43
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 8084
List of positive integer factors of 8084 that divides 8084 without a remainder.
1,2,4,43,47,86,94,172,188,2021,4042,8084
Greatest Common Factor
We found the factors 129,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 129,8084 is 43.
Lets's calculate LCM of 304,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 112784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/112784
Therefore, the GCF of Fractions 129/304,8084/371 is 43/112784
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 304,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,371) x common factors =1 x 1 = 1
LCM(304,371) = ( 304 × 371 ) / 1
LCM(304,371) = 112784 / 1
LCM(304,371) = 112784
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 129/304, 8084/371?
Answer: GCF of Numerators as per given numbers 129/304, 8084/371 is
GCF of Numerators i.e. for 129,8084 is 43
LCM of denominators i.e. for 304,371 is 112784.
Thus, GCF of Fractions is 43/112784.Finally, GCF of Fractions for 129/304, 8084/371 is 43/112784.