Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/80,286/1090
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 664,286
Greatest Common Factor of Numerators i.e. GCF of 664,286 is 2 .
LCM of Denominators means LCM of 80,1090 as per the given fractions.
LCM of 80,1090 is 8720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 664,286
2 | 664, 286 |
332, 143 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 664,286 . The biggest common factor number is the GCF number.
So the greatest common factor 664,286 is 2.
Lets's calculate LCM of 80,1090
2 | 80, 1090 |
5 | 40, 545 |
8, 109 |
∴ So the LCM of the given numbers is 2 x 5 x 8 x 109 = 8720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8720
Therefore, the GCF of Fractions 664/80,286/1090 is 2/8720
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 80,1090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,1090) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(80,1090) x common factors =10 x 1 = 10
LCM(80,1090) = ( 80 × 1090 ) / 10
LCM(80,1090) = 87200 / 10
LCM(80,1090) = 8720
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 664/80, 286/1090?
Answer: GCF of Numerators as per given numbers 664/80, 286/1090 is
GCF of Numerators i.e. for 664,286 is 2
LCM of denominators i.e. for 80,1090 is 8720.
Thus, GCF of Fractions is 2/8720.Finally, GCF of Fractions for 664/80, 286/1090 is 2/8720.