Use our free GCF of Fractions Calculator tool to compute the GCF of 708/186, 580/292 i.e 4/27156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/186, 580/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/186,580/292
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 708/186,580/292, numerators are 708,580
Denominators are 186,292
The GCF of 708,580 is 4 .
LCM of 186,292 is 27156.
The greatest common factor of 708/186,580/292 = [GCF of 708,580]/[LCM of 186,292]= 4/27156
Therefore, the GCF of 708/186,580/292 is 4/27156.
To find the highest common factor of 708,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 708,580 is 4.
Lets's calculate GCF of 708,580
2 | 708, 580 |
2 | 354, 290 |
177, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 708,580 . The biggest common factor number is the GCF number.
So the greatest common factor 708,580 is 4.
Lets's calculate LCM of 186,292
2 | 186, 292 |
93, 146 |
∴ So the LCM of the given numbers is 2 x 93 x 146 = 27156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/27156
Therefore, the GCF of Fractions 708/186,580/292 is 4/27156
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 186,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,292) x common factors =2 x 1 = 2
LCM(186,292) = ( 186 × 292 ) / 2
LCM(186,292) = 54312 / 2
LCM(186,292) = 27156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 708,580?
The HCF of 708,580 is 4
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 708/186, 580/292?
Answer: GCF of Numerators as per given numbers 708/186, 580/292 is
GCF of Numerators i.e. for 708,580 is 4
LCM of denominators i.e. for 186,292 is 27156.
Thus, GCF of Fractions is 4/27156.Finally, GCF of Fractions for 708/186, 580/292 is 4/27156.