Use our free GCF of Fractions Calculator tool to compute the GCF of 66/142, 76/429, 831/573 i.e 1/11635338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/142, 76/429, 831/573.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/142,76/429,831/573
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 66/142,76/429,831/573, numerators are 66,76,831
Denominators are 142,429,573
The GCF of 66,76,831 is 1 .
LCM of 142,429,573 is 11635338.
The greatest common factor of 66/142,76/429,831/573 = [GCF of 66,76,831]/[LCM of 142,429,573]= 1/11635338
Therefore, the GCF of 66/142,76/429,831/573 is 1/11635338.
To find the highest common factor of 66,76,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 831 are 1, 3, 277, 831
The HCF of 66,76,831 is 1.
Lets's calculate GCF of 66,76,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 66,76,831 . The biggest common factor number is the GCF number.
So the greatest common factor 66,76,831 is 1.
Lets's calculate LCM of 142,429,573
3 | 142, 429, 573 |
142, 143, 191 |
∴ So the LCM of the given numbers is 3 x 142 x 143 x 191 = 11635338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11635338
Therefore, the GCF of Fractions 66/142,76/429,831/573 is 1/11635338
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 142,429,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,429,573) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(142,429,573) x common factors =1 x 3 = 3
LCM(142,429,573) = ( 142 × 429 × 573 ) / 3
LCM(142,429,573) = 34906014 / 3
LCM(142,429,573) = 11635338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,76,831?
The HCF of 66,76,831 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 66/142, 76/429, 831/573?
Answer: GCF of Numerators as per given numbers 66/142, 76/429, 831/573 is
GCF of Numerators i.e. for 66,76,831 is 1
LCM of denominators i.e. for 142,429,573 is 11635338.
Thus, GCF of Fractions is 1/11635338.Finally, GCF of Fractions for 66/142, 76/429, 831/573 is 1/11635338.