Use our free GCF of Fractions Calculator tool to compute the GCF of 786/568, 538/878 i.e 2/249352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/568, 538/878.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/568,538/878
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 786/568,538/878, numerators are 786,538
Denominators are 568,878
The GCF of 786,538 is 2 .
LCM of 568,878 is 249352.
The greatest common factor of 786/568,538/878 = [GCF of 786,538]/[LCM of 568,878]= 2/249352
Therefore, the GCF of 786/568,538/878 is 2/249352.
To find the highest common factor of 786,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 538 are 1, 2, 269, 538
The HCF of 786,538 is 2.
Lets's calculate GCF of 786,538
2 | 786, 538 |
393, 269 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 786,538 . The biggest common factor number is the GCF number.
So the greatest common factor 786,538 is 2.
Lets's calculate LCM of 568,878
2 | 568, 878 |
284, 439 |
∴ So the LCM of the given numbers is 2 x 284 x 439 = 249352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249352
Therefore, the GCF of Fractions 786/568,538/878 is 2/249352
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 568,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,878) x common factors =2 x 1 = 2
LCM(568,878) = ( 568 × 878 ) / 2
LCM(568,878) = 498704 / 2
LCM(568,878) = 249352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 786,538?
The HCF of 786,538 is 2
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 786/568, 538/878?
Answer: GCF of Numerators as per given numbers 786/568, 538/878 is
GCF of Numerators i.e. for 786,538 is 2
LCM of denominators i.e. for 568,878 is 249352.
Thus, GCF of Fractions is 2/249352.Finally, GCF of Fractions for 786/568, 538/878 is 2/249352.