Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8716/184,1057/5129
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 8716,1057
Greatest Common Factor of Numerators i.e. GCF of 8716,1057 is 1 .
LCM of Denominators means LCM of 184,5129 as per the given fractions.
LCM of 184,5129 is 41032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8716,1057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8716
List of positive integer factors of 8716 that divides 8716 without a remainder.
1,2,4,2179,4358,8716
Factors of 1057
List of positive integer factors of 1057 that divides 1057 without a remainder.
1,7,151,1057
Greatest Common Factor
We found the factors 8716,1057 . The biggest common factor number is the GCF number.
So the greatest common factor 8716,1057 is 1.
Lets's calculate LCM of 184,5129
23 | 184, 5129 |
8, 223 |
∴ So the LCM of the given numbers is 23 x 8 x 223 = 41032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41032
Therefore, the GCF of Fractions 8716/184,1057/5129 is 1/41032
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 184,5129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,5129) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(184,5129) x common factors =23 x 1 = 23
LCM(184,5129) = ( 184 × 5129 ) / 23
LCM(184,5129) = 943736 / 23
LCM(184,5129) = 41032
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 8716/184, 1057/5129?
Answer: GCF of Numerators as per given numbers 8716/184, 1057/5129 is
GCF of Numerators i.e. for 8716,1057 is 1
LCM of denominators i.e. for 184,5129 is 41032.
Thus, GCF of Fractions is 1/41032.Finally, GCF of Fractions for 8716/184, 1057/5129 is 1/41032.