Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 828/53,168/7356
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 828,168
Greatest Common Factor of Numerators i.e. GCF of 828,168 is 12 .
LCM of Denominators means LCM of 53,7356 as per the given fractions.
LCM of 53,7356 is 389868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 828,168
2 | 828, 168 |
2 | 414, 84 |
3 | 207, 42 |
69, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 828,168 . The biggest common factor number is the GCF number.
So the greatest common factor 828,168 is 12.
Lets's calculate LCM of 53,7356
Given numbers has no common factors except 1. So, there LCM is their product i.e 389868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/389868
Therefore, the GCF of Fractions 828/53,168/7356 is 12/389868
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 53,7356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,7356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,7356) x common factors =1 x 1 = 1
LCM(53,7356) = ( 53 × 7356 ) / 1
LCM(53,7356) = 389868 / 1
LCM(53,7356) = 389868
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 828/53, 168/7356?
Answer: GCF of Numerators as per given numbers 828/53, 168/7356 is
GCF of Numerators i.e. for 828,168 is 12
LCM of denominators i.e. for 53,7356 is 389868.
Thus, GCF of Fractions is 12/389868.Finally, GCF of Fractions for 828/53, 168/7356 is 12/389868.