Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 116/745,516/686
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 116,516
Greatest Common Factor of Numerators i.e. GCF of 116,516 is 4 .
LCM of Denominators means LCM of 745,686 as per the given fractions.
LCM of 745,686 is 511070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 116,516
2 | 116, 516 |
2 | 58, 258 |
29, 129 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 116,516 . The biggest common factor number is the GCF number.
So the greatest common factor 116,516 is 4.
Lets's calculate LCM of 745,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 511070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/511070
Therefore, the GCF of Fractions 116/745,516/686 is 4/511070
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 745,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,686) x common factors =1 x 1 = 1
LCM(745,686) = ( 745 × 686 ) / 1
LCM(745,686) = 511070 / 1
LCM(745,686) = 511070
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 116/745, 516/686?
Answer: GCF of Numerators as per given numbers 116/745, 516/686 is
GCF of Numerators i.e. for 116,516 is 4
LCM of denominators i.e. for 745,686 is 511070.
Thus, GCF of Fractions is 4/511070.Finally, GCF of Fractions for 116/745, 516/686 is 4/511070.