Use our free GCF of Fractions Calculator tool to compute the GCF of 79/509, 8566/6952 i.e 1/3538568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/509, 8566/6952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/509,8566/6952
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 79/509,8566/6952, numerators are 79,8566
Denominators are 509,6952
The GCF of 79,8566 is 1 .
LCM of 509,6952 is 3538568.
The greatest common factor of 79/509,8566/6952 = [GCF of 79,8566]/[LCM of 509,6952]= 1/3538568
Therefore, the GCF of 79/509,8566/6952 is 1/3538568.
To find the highest common factor of 79,8566, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 8566 are 1, 2, 4283, 8566
The HCF of 79,8566 is 1.
Lets's calculate GCF of 79,8566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 8566
:1,2,4283,8566
Greatest Common Factor
We found the factors 79,8566 . The biggest common factor number is the GCF number.
So the greatest common factor 79,8566 is 1.
Lets's calculate LCM of 509,6952
Given numbers has no common factors except 1. So, there LCM is their product i.e 3538568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3538568
Therefore, the GCF of Fractions 79/509,8566/6952 is 1/3538568
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 509,6952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6952) x common factors =1 x 1 = 1
LCM(509,6952) = ( 509 × 6952 ) / 1
LCM(509,6952) = 3538568 / 1
LCM(509,6952) = 3538568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,8566?
The HCF of 79,8566 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 79/509, 8566/6952?
Answer: GCF of Numerators as per given numbers 79/509, 8566/6952 is
GCF of Numerators i.e. for 79,8566 is 1
LCM of denominators i.e. for 509,6952 is 3538568.
Thus, GCF of Fractions is 1/3538568.Finally, GCF of Fractions for 79/509, 8566/6952 is 1/3538568.