Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2412/614,8242/257
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 2412,8242
Greatest Common Factor of Numerators i.e. GCF of 2412,8242 is 2 .
LCM of Denominators means LCM of 614,257 as per the given fractions.
LCM of 614,257 is 157798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2412,8242
2 | 2412, 8242 |
1206, 4121 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2412
List of positive integer factors of 2412 that divides 2412 without a remainder.
1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Factors of 8242
List of positive integer factors of 8242 that divides 8242 without a remainder.
1,2,13,26,317,634,4121,8242
Greatest Common Factor
We found the factors 2412,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 2412,8242 is 2.
Lets's calculate LCM of 614,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 157798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157798
Therefore, the GCF of Fractions 2412/614,8242/257 is 2/157798
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 614,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,257) x common factors =1 x 1 = 1
LCM(614,257) = ( 614 × 257 ) / 1
LCM(614,257) = 157798 / 1
LCM(614,257) = 157798
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 2412/614, 8242/257?
Answer: GCF of Numerators as per given numbers 2412/614, 8242/257 is
GCF of Numerators i.e. for 2412,8242 is 2
LCM of denominators i.e. for 614,257 is 157798.
Thus, GCF of Fractions is 2/157798.Finally, GCF of Fractions for 2412/614, 8242/257 is 2/157798.