Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6672/59,6579/850
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 6672,6579
Greatest Common Factor of Numerators i.e. GCF of 6672,6579 is 3 .
LCM of Denominators means LCM of 59,850 as per the given fractions.
LCM of 59,850 is 50150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6672,6579
3 | 6672, 6579 |
2224, 2193 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6672
List of positive integer factors of 6672 that divides 6672 without a remainder.
1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672
Factors of 6579
List of positive integer factors of 6579 that divides 6579 without a remainder.
1,3,9,17,43,51,129,153,387,731,2193,6579
Greatest Common Factor
We found the factors 6672,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 6672,6579 is 3.
Lets's calculate LCM of 59,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 50150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50150
Therefore, the GCF of Fractions 6672/59,6579/850 is 3/50150
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 59,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,850) x common factors =1 x 1 = 1
LCM(59,850) = ( 59 × 850 ) / 1
LCM(59,850) = 50150 / 1
LCM(59,850) = 50150
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 6672/59, 6579/850?
Answer: GCF of Numerators as per given numbers 6672/59, 6579/850 is
GCF of Numerators i.e. for 6672,6579 is 3
LCM of denominators i.e. for 59,850 is 50150.
Thus, GCF of Fractions is 3/50150.Finally, GCF of Fractions for 6672/59, 6579/850 is 3/50150.