Use our free GCF of Fractions Calculator tool to compute the GCF of 879/652, 786/775 i.e 3/505300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/652, 786/775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/652,786/775
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 879/652,786/775, numerators are 879,786
Denominators are 652,775
The GCF of 879,786 is 3 .
LCM of 652,775 is 505300.
The greatest common factor of 879/652,786/775 = [GCF of 879,786]/[LCM of 652,775]= 3/505300
Therefore, the GCF of 879/652,786/775 is 3/505300.
To find the highest common factor of 879,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 879,786 is 3.
Lets's calculate GCF of 879,786
3 | 879, 786 |
293, 262 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 879,786 . The biggest common factor number is the GCF number.
So the greatest common factor 879,786 is 3.
Lets's calculate LCM of 652,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 505300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/505300
Therefore, the GCF of Fractions 879/652,786/775 is 3/505300
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 652,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,775) x common factors =1 x 1 = 1
LCM(652,775) = ( 652 × 775 ) / 1
LCM(652,775) = 505300 / 1
LCM(652,775) = 505300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 879,786?
The HCF of 879,786 is 3
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 879/652, 786/775?
Answer: GCF of Numerators as per given numbers 879/652, 786/775 is
GCF of Numerators i.e. for 879,786 is 3
LCM of denominators i.e. for 652,775 is 505300.
Thus, GCF of Fractions is 3/505300.Finally, GCF of Fractions for 879/652, 786/775 is 3/505300.