Use our free GCF of Fractions Calculator tool to compute the GCF of 261/155, 580/828 i.e 29/128340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/155, 580/828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/155,580/828
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 261/155,580/828, numerators are 261,580
Denominators are 155,828
The GCF of 261,580 is 29 .
LCM of 155,828 is 128340.
The greatest common factor of 261/155,580/828 = [GCF of 261,580]/[LCM of 155,828]= 29/128340
Therefore, the GCF of 261/155,580/828 is 29/128340.
To find the highest common factor of 261,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 261 are 1, 3, 9, 29, 87, 261
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 261,580 is 29.
Lets's calculate GCF of 261,580
29 | 261, 580 |
9, 20 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 261
:1,3,9,29,87,261
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 261,580 . The biggest common factor number is the GCF number.
So the greatest common factor 261,580 is 29.
Lets's calculate LCM of 155,828
Given numbers has no common factors except 1. So, there LCM is their product i.e 128340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/128340
Therefore, the GCF of Fractions 261/155,580/828 is 29/128340
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 155,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,828) x common factors =1 x 1 = 1
LCM(155,828) = ( 155 × 828 ) / 1
LCM(155,828) = 128340 / 1
LCM(155,828) = 128340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 261,580?
The HCF of 261,580 is 29
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 261/155, 580/828?
Answer: GCF of Numerators as per given numbers 261/155, 580/828 is
GCF of Numerators i.e. for 261,580 is 29
LCM of denominators i.e. for 155,828 is 128340.
Thus, GCF of Fractions is 29/128340.Finally, GCF of Fractions for 261/155, 580/828 is 29/128340.