Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 126/840,8296/515
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 126,8296
Greatest Common Factor of Numerators i.e. GCF of 126,8296 is 2 .
LCM of Denominators means LCM of 840,515 as per the given fractions.
LCM of 840,515 is 86520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 126,8296
2 | 126, 8296 |
63, 4148 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 8296
List of positive integer factors of 8296 that divides 8296 without a remainder.
1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Greatest Common Factor
We found the factors 126,8296 . The biggest common factor number is the GCF number.
So the greatest common factor 126,8296 is 2.
Lets's calculate LCM of 840,515
5 | 840, 515 |
168, 103 |
∴ So the LCM of the given numbers is 5 x 168 x 103 = 86520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86520
Therefore, the GCF of Fractions 126/840,8296/515 is 2/86520
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 840,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(840,515) x common factors =5 x 1 = 5
LCM(840,515) = ( 840 × 515 ) / 5
LCM(840,515) = 432600 / 5
LCM(840,515) = 86520
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 126/840, 8296/515?
Answer: GCF of Numerators as per given numbers 126/840, 8296/515 is
GCF of Numerators i.e. for 126,8296 is 2
LCM of denominators i.e. for 840,515 is 86520.
Thus, GCF of Fractions is 2/86520.Finally, GCF of Fractions for 126/840, 8296/515 is 2/86520.