Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/412,6052/927
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 488,6052
Greatest Common Factor of Numerators i.e. GCF of 488,6052 is 4 .
LCM of Denominators means LCM of 412,927 as per the given fractions.
LCM of 412,927 is 3708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 488,6052
2 | 488, 6052 |
2 | 244, 3026 |
122, 1513 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 6052
List of positive integer factors of 6052 that divides 6052 without a remainder.
1,2,4,17,34,68,89,178,356,1513,3026,6052
Greatest Common Factor
We found the factors 488,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 488,6052 is 4.
Lets's calculate LCM of 412,927
103 | 412, 927 |
4, 9 |
∴ So the LCM of the given numbers is 103 x 4 x 9 = 3708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3708
Therefore, the GCF of Fractions 488/412,6052/927 is 4/3708
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 412,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,927) = 103
common factors(in case of two or more numbers have common factors) = 1
GCF(412,927) x common factors =103 x 1 = 103
LCM(412,927) = ( 412 × 927 ) / 103
LCM(412,927) = 381924 / 103
LCM(412,927) = 3708
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 488/412, 6052/927?
Answer: GCF of Numerators as per given numbers 488/412, 6052/927 is
GCF of Numerators i.e. for 488,6052 is 4
LCM of denominators i.e. for 412,927 is 3708.
Thus, GCF of Fractions is 4/3708.Finally, GCF of Fractions for 488/412, 6052/927 is 4/3708.