Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/215,412/834
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 496,412
Greatest Common Factor of Numerators i.e. GCF of 496,412 is 4 .
LCM of Denominators means LCM of 215,834 as per the given fractions.
LCM of 215,834 is 179310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,412
2 | 496, 412 |
2 | 248, 206 |
124, 103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 496,412 . The biggest common factor number is the GCF number.
So the greatest common factor 496,412 is 4.
Lets's calculate LCM of 215,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 179310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/179310
Therefore, the GCF of Fractions 496/215,412/834 is 4/179310
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 215,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,834) x common factors =1 x 1 = 1
LCM(215,834) = ( 215 × 834 ) / 1
LCM(215,834) = 179310 / 1
LCM(215,834) = 179310
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 496/215, 412/834?
Answer: GCF of Numerators as per given numbers 496/215, 412/834 is
GCF of Numerators i.e. for 496,412 is 4
LCM of denominators i.e. for 215,834 is 179310.
Thus, GCF of Fractions is 4/179310.Finally, GCF of Fractions for 496/215, 412/834 is 4/179310.