Use our free GCF of Fractions Calculator tool to compute the GCF of 29/56, 524/16, 319/585 i.e 1/65520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/56, 524/16, 319/585.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/56,524/16,319/585
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 29/56,524/16,319/585, numerators are 29,524,319
Denominators are 56,16,585
The GCF of 29,524,319 is 1 .
LCM of 56,16,585 is 65520.
The greatest common factor of 29/56,524/16,319/585 = [GCF of 29,524,319]/[LCM of 56,16,585]= 1/65520
Therefore, the GCF of 29/56,524/16,319/585 is 1/65520.
To find the highest common factor of 29,524,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 319 are 1, 11, 29, 319
The HCF of 29,524,319 is 1.
Lets's calculate GCF of 29,524,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 29,524,319 . The biggest common factor number is the GCF number.
So the greatest common factor 29,524,319 is 1.
Lets's calculate LCM of 56,16,585
2 | 56, 16, 585 |
2 | 28, 8, 585 |
2 | 14, 4, 585 |
7, 2, 585 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 2 x 585 = 65520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65520
Therefore, the GCF of Fractions 29/56,524/16,319/585 is 1/65520
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 56,16,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,16,585) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(56,16,585) x common factors =1 x 8 = 8
LCM(56,16,585) = ( 56 × 16 × 585 ) / 8
LCM(56,16,585) = 524160 / 8
LCM(56,16,585) = 65520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,524,319?
The HCF of 29,524,319 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 29/56, 524/16, 319/585?
Answer: GCF of Numerators as per given numbers 29/56, 524/16, 319/585 is
GCF of Numerators i.e. for 29,524,319 is 1
LCM of denominators i.e. for 56,16,585 is 65520.
Thus, GCF of Fractions is 1/65520.Finally, GCF of Fractions for 29/56, 524/16, 319/585 is 1/65520.