Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/929,6082/551
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 424,6082
Greatest Common Factor of Numerators i.e. GCF of 424,6082 is 2 .
LCM of Denominators means LCM of 929,551 as per the given fractions.
LCM of 929,551 is 511879 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,6082
2 | 424, 6082 |
212, 3041 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 6082
List of positive integer factors of 6082 that divides 6082 without a remainder.
1,2,3041,6082
Greatest Common Factor
We found the factors 424,6082 . The biggest common factor number is the GCF number.
So the greatest common factor 424,6082 is 2.
Lets's calculate LCM of 929,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 511879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/511879
Therefore, the GCF of Fractions 424/929,6082/551 is 2/511879
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 929,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,551) x common factors =1 x 1 = 1
LCM(929,551) = ( 929 × 551 ) / 1
LCM(929,551) = 511879 / 1
LCM(929,551) = 511879
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 424/929, 6082/551?
Answer: GCF of Numerators as per given numbers 424/929, 6082/551 is
GCF of Numerators i.e. for 424,6082 is 2
LCM of denominators i.e. for 929,551 is 511879.
Thus, GCF of Fractions is 2/511879.Finally, GCF of Fractions for 424/929, 6082/551 is 2/511879.