Use our free GCF of Fractions Calculator tool to compute the GCF of 348/823, 786/708 i.e 6/582684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/823, 786/708.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/823,786/708
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 348/823,786/708, numerators are 348,786
Denominators are 823,708
The GCF of 348,786 is 6 .
LCM of 823,708 is 582684.
The greatest common factor of 348/823,786/708 = [GCF of 348,786]/[LCM of 823,708]= 6/582684
Therefore, the GCF of 348/823,786/708 is 6/582684.
To find the highest common factor of 348,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 348,786 is 6.
Lets's calculate GCF of 348,786
2 | 348, 786 |
3 | 174, 393 |
58, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 348,786 . The biggest common factor number is the GCF number.
So the greatest common factor 348,786 is 6.
Lets's calculate LCM of 823,708
Given numbers has no common factors except 1. So, there LCM is their product i.e 582684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/582684
Therefore, the GCF of Fractions 348/823,786/708 is 6/582684
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 823,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,708) x common factors =1 x 1 = 1
LCM(823,708) = ( 823 × 708 ) / 1
LCM(823,708) = 582684 / 1
LCM(823,708) = 582684
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 348,786?
The HCF of 348,786 is 6
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 348/823, 786/708?
Answer: GCF of Numerators as per given numbers 348/823, 786/708 is
GCF of Numerators i.e. for 348,786 is 6
LCM of denominators i.e. for 823,708 is 582684.
Thus, GCF of Fractions is 6/582684.Finally, GCF of Fractions for 348/823, 786/708 is 6/582684.