Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8224/680,3716/571
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 8224,3716
Greatest Common Factor of Numerators i.e. GCF of 8224,3716 is 4 .
LCM of Denominators means LCM of 680,571 as per the given fractions.
LCM of 680,571 is 388280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8224,3716
2 | 8224, 3716 |
2 | 4112, 1858 |
2056, 929 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8224
List of positive integer factors of 8224 that divides 8224 without a remainder.
1,2,4,8,16,32,257,514,1028,2056,4112,8224
Factors of 3716
List of positive integer factors of 3716 that divides 3716 without a remainder.
1,2,4,929,1858,3716
Greatest Common Factor
We found the factors 8224,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,3716 is 4.
Lets's calculate LCM of 680,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 388280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/388280
Therefore, the GCF of Fractions 8224/680,3716/571 is 4/388280
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 680,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,571) x common factors =1 x 1 = 1
LCM(680,571) = ( 680 × 571 ) / 1
LCM(680,571) = 388280 / 1
LCM(680,571) = 388280
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 8224/680, 3716/571?
Answer: GCF of Numerators as per given numbers 8224/680, 3716/571 is
GCF of Numerators i.e. for 8224,3716 is 4
LCM of denominators i.e. for 680,571 is 388280.
Thus, GCF of Fractions is 4/388280.Finally, GCF of Fractions for 8224/680, 3716/571 is 4/388280.