Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/21,824/181
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 856,824
Greatest Common Factor of Numerators i.e. GCF of 856,824 is 8 .
LCM of Denominators means LCM of 21,181 as per the given fractions.
LCM of 21,181 is 3801 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 856,824
2 | 856, 824 |
2 | 428, 412 |
2 | 214, 206 |
107, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 856,824 . The biggest common factor number is the GCF number.
So the greatest common factor 856,824 is 8.
Lets's calculate LCM of 21,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 3801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3801
Therefore, the GCF of Fractions 856/21,824/181 is 8/3801
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 21,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,181) x common factors =1 x 1 = 1
LCM(21,181) = ( 21 × 181 ) / 1
LCM(21,181) = 3801 / 1
LCM(21,181) = 3801
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 856/21, 824/181?
Answer: GCF of Numerators as per given numbers 856/21, 824/181 is
GCF of Numerators i.e. for 856,824 is 8
LCM of denominators i.e. for 21,181 is 3801.
Thus, GCF of Fractions is 8/3801.Finally, GCF of Fractions for 856/21, 824/181 is 8/3801.