Use our free GCF of Fractions Calculator tool to compute the GCF of 82/770, 13/810, 568/870 i.e 1/1808730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/770, 13/810, 568/870.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/770,13/810,568/870
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 82/770,13/810,568/870, numerators are 82,13,568
Denominators are 770,810,870
The GCF of 82,13,568 is 1 .
LCM of 770,810,870 is 1808730.
The greatest common factor of 82/770,13/810,568/870 = [GCF of 82,13,568]/[LCM of 770,810,870]= 1/1808730
Therefore, the GCF of 82/770,13/810,568/870 is 1/1808730.
To find the highest common factor of 82,13,568, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 13 are 1, 13
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The HCF of 82,13,568 is 1.
Lets's calculate GCF of 82,13,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 13
:1,13
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 82,13,568 . The biggest common factor number is the GCF number.
So the greatest common factor 82,13,568 is 1.
Lets's calculate LCM of 770,810,870
2 | 770, 810, 870 |
3 | 385, 405, 435 |
5 | 385, 135, 145 |
77, 27, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 77 x 27 x 29 = 1808730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808730
Therefore, the GCF of Fractions 82/770,13/810,568/870 is 1/1808730
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 770,810,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,810,870) = 10
common factors(in case of two or more numbers have common factors) = 30
GCF(770,810,870) x common factors =10 x 30 = 300
LCM(770,810,870) = ( 770 × 810 × 870 ) / 300
LCM(770,810,870) = 542619000 / 300
LCM(770,810,870) = 1808730
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,13,568?
The HCF of 82,13,568 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 82/770, 13/810, 568/870?
Answer: GCF of Numerators as per given numbers 82/770, 13/810, 568/870 is
GCF of Numerators i.e. for 82,13,568 is 1
LCM of denominators i.e. for 770,810,870 is 1808730.
Thus, GCF of Fractions is 1/1808730.Finally, GCF of Fractions for 82/770, 13/810, 568/870 is 1/1808730.