Use our free GCF of Fractions Calculator tool to compute the GCF of 529/123, 688/286 i.e 1/35178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/123, 688/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 529/123,688/286
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 529/123,688/286, numerators are 529,688
Denominators are 123,286
The GCF of 529,688 is 1 .
LCM of 123,286 is 35178.
The greatest common factor of 529/123,688/286 = [GCF of 529,688]/[LCM of 123,286]= 1/35178
Therefore, the GCF of 529/123,688/286 is 1/35178.
To find the highest common factor of 529,688, 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 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 529,688 is 1.
Lets's calculate GCF of 529,688
∴ 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 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 529,688 . The biggest common factor number is the GCF number.
So the greatest common factor 529,688 is 1.
Lets's calculate LCM of 123,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 35178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35178
Therefore, the GCF of Fractions 529/123,688/286 is 1/35178
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 123,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,286) x common factors =1 x 1 = 1
LCM(123,286) = ( 123 × 286 ) / 1
LCM(123,286) = 35178 / 1
LCM(123,286) = 35178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 529,688?
The HCF of 529,688 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 529/123, 688/286?
Answer: GCF of Numerators as per given numbers 529/123, 688/286 is
GCF of Numerators i.e. for 529,688 is 1
LCM of denominators i.e. for 123,286 is 35178.
Thus, GCF of Fractions is 1/35178.Finally, GCF of Fractions for 529/123, 688/286 is 1/35178.