Use our free GCF of Fractions Calculator tool to compute the GCF of 529/684, 475/142 i.e 1/48564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/684, 475/142.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 529/684,475/142
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 529/684,475/142, numerators are 529,475
Denominators are 684,142
The GCF of 529,475 is 1 .
LCM of 684,142 is 48564.
The greatest common factor of 529/684,475/142 = [GCF of 529,475]/[LCM of 684,142]= 1/48564
Therefore, the GCF of 529/684,475/142 is 1/48564.
To find the highest common factor of 529,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 529 are 1, 23, 529
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 529,475 is 1.
Lets's calculate GCF of 529,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 529,475 . The biggest common factor number is the GCF number.
So the greatest common factor 529,475 is 1.
Lets's calculate LCM of 684,142
2 | 684, 142 |
342, 71 |
∴ So the LCM of the given numbers is 2 x 342 x 71 = 48564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48564
Therefore, the GCF of Fractions 529/684,475/142 is 1/48564
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 684,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,142) x common factors =2 x 1 = 2
LCM(684,142) = ( 684 × 142 ) / 2
LCM(684,142) = 97128 / 2
LCM(684,142) = 48564
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 529,475?
The HCF of 529,475 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 529/684, 475/142?
Answer: GCF of Numerators as per given numbers 529/684, 475/142 is
GCF of Numerators i.e. for 529,475 is 1
LCM of denominators i.e. for 684,142 is 48564.
Thus, GCF of Fractions is 1/48564.Finally, GCF of Fractions for 529/684, 475/142 is 1/48564.