Use our free GCF of Fractions Calculator tool to compute the GCF of 58/91, 160/66, 261/518 i.e 1/222222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/91, 160/66, 261/518.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/91,160/66,261/518
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 58/91,160/66,261/518, numerators are 58,160,261
Denominators are 91,66,518
The GCF of 58,160,261 is 1 .
LCM of 91,66,518 is 222222.
The greatest common factor of 58/91,160/66,261/518 = [GCF of 58,160,261]/[LCM of 91,66,518]= 1/222222
Therefore, the GCF of 58/91,160/66,261/518 is 1/222222.
To find the highest common factor of 58,160,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 58 are 1, 2, 29, 58
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 58,160,261 is 1.
Lets's calculate GCF of 58,160,261
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 58,160,261 . The biggest common factor number is the GCF number.
So the greatest common factor 58,160,261 is 1.
Lets's calculate LCM of 91,66,518
2 | 91, 66, 518 |
7 | 91, 33, 259 |
13, 33, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 33 x 37 = 222222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222222
Therefore, the GCF of Fractions 58/91,160/66,261/518 is 1/222222
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 91,66,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,66,518) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(91,66,518) x common factors =1 x 14 = 14
LCM(91,66,518) = ( 91 × 66 × 518 ) / 14
LCM(91,66,518) = 3111108 / 14
LCM(91,66,518) = 222222
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 58,160,261?
The HCF of 58,160,261 is 1
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 58/91, 160/66, 261/518?
Answer: GCF of Numerators as per given numbers 58/91, 160/66, 261/518 is
GCF of Numerators i.e. for 58,160,261 is 1
LCM of denominators i.e. for 91,66,518 is 222222.
Thus, GCF of Fractions is 1/222222.Finally, GCF of Fractions for 58/91, 160/66, 261/518 is 1/222222.