Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 713/798,664/138,560/913
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 713,664,560
Greatest Common Factor of Numerators i.e. GCF of 713,664,560 is 1 .
LCM of Denominators means LCM of 798,138,913 as per the given fractions.
LCM of 798,138,913 is 16757202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 713,664,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
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 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
Greatest Common Factor
We found the factors 713,664,560 . The biggest common factor number is the GCF number.
So the greatest common factor 713,664,560 is 1.
Lets's calculate LCM of 798,138,913
2 | 798, 138, 913 |
3 | 399, 69, 913 |
133, 23, 913 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 23 x 913 = 16757202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16757202
Therefore, the GCF of Fractions 713/798,664/138,560/913 is 1/16757202
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 798,138,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,138,913) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(798,138,913) x common factors =1 x 6 = 6
LCM(798,138,913) = ( 798 × 138 × 913 ) / 6
LCM(798,138,913) = 100543212 / 6
LCM(798,138,913) = 16757202
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 713/798, 664/138, 560/913?
Answer: GCF of Numerators as per given numbers 713/798, 664/138, 560/913 is
GCF of Numerators i.e. for 713,664,560 is 1
LCM of denominators i.e. for 798,138,913 is 16757202.
Thus, GCF of Fractions is 1/16757202.Finally, GCF of Fractions for 713/798, 664/138, 560/913 is 1/16757202.