Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/711,998/796
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 560,998
Greatest Common Factor of Numerators i.e. GCF of 560,998 is 2 .
LCM of Denominators means LCM of 711,796 as per the given fractions.
LCM of 711,796 is 565956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 560,998
2 | 560, 998 |
280, 499 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 560,998 . The biggest common factor number is the GCF number.
So the greatest common factor 560,998 is 2.
Lets's calculate LCM of 711,796
Given numbers has no common factors except 1. So, there LCM is their product i.e 565956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565956
Therefore, the GCF of Fractions 560/711,998/796 is 2/565956
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 711,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,796) x common factors =1 x 1 = 1
LCM(711,796) = ( 711 × 796 ) / 1
LCM(711,796) = 565956 / 1
LCM(711,796) = 565956
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 560/711, 998/796?
Answer: GCF of Numerators as per given numbers 560/711, 998/796 is
GCF of Numerators i.e. for 560,998 is 2
LCM of denominators i.e. for 711,796 is 565956.
Thus, GCF of Fractions is 2/565956.Finally, GCF of Fractions for 560/711, 998/796 is 2/565956.