Use our free GCF of Fractions Calculator tool to compute the GCF of 289/517, 700/516 i.e 1/266772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/517, 700/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 289/517,700/516
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 289/517,700/516, numerators are 289,700
Denominators are 517,516
The GCF of 289,700 is 1 .
LCM of 517,516 is 266772.
The greatest common factor of 289/517,700/516 = [GCF of 289,700]/[LCM of 517,516]= 1/266772
Therefore, the GCF of 289/517,700/516 is 1/266772.
To find the highest common factor of 289,700, we have to find the factors of both numbers and list the highest common factor.
The factors of 289 are 1, 17, 289
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 289,700 is 1.
Lets's calculate GCF of 289,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 289
:1,17,289
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 289,700 . The biggest common factor number is the GCF number.
So the greatest common factor 289,700 is 1.
Lets's calculate LCM of 517,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 266772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266772
Therefore, the GCF of Fractions 289/517,700/516 is 1/266772
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 517,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,516) x common factors =1 x 1 = 1
LCM(517,516) = ( 517 × 516 ) / 1
LCM(517,516) = 266772 / 1
LCM(517,516) = 266772
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 289,700?
The HCF of 289,700 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 289/517, 700/516?
Answer: GCF of Numerators as per given numbers 289/517, 700/516 is
GCF of Numerators i.e. for 289,700 is 1
LCM of denominators i.e. for 517,516 is 266772.
Thus, GCF of Fractions is 1/266772.Finally, GCF of Fractions for 289/517, 700/516 is 1/266772.