Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6122/574,5062/8807
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 6122,5062
Greatest Common Factor of Numerators i.e. GCF of 6122,5062 is 2 .
LCM of Denominators means LCM of 574,8807 as per the given fractions.
LCM of 574,8807 is 5055218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6122,5062
2 | 6122, 5062 |
3061, 2531 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6122
List of positive integer factors of 6122 that divides 6122 without a remainder.
1,2,3061,6122
Factors of 5062
List of positive integer factors of 5062 that divides 5062 without a remainder.
1,2,2531,5062
Greatest Common Factor
We found the factors 6122,5062 . The biggest common factor number is the GCF number.
So the greatest common factor 6122,5062 is 2.
Lets's calculate LCM of 574,8807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5055218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5055218
Therefore, the GCF of Fractions 6122/574,5062/8807 is 2/5055218
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 574,8807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,8807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,8807) x common factors =1 x 1 = 1
LCM(574,8807) = ( 574 × 8807 ) / 1
LCM(574,8807) = 5055218 / 1
LCM(574,8807) = 5055218
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 6122/574, 5062/8807?
Answer: GCF of Numerators as per given numbers 6122/574, 5062/8807 is
GCF of Numerators i.e. for 6122,5062 is 2
LCM of denominators i.e. for 574,8807 is 5055218.
Thus, GCF of Fractions is 2/5055218.Finally, GCF of Fractions for 6122/574, 5062/8807 is 2/5055218.