Use our free GCF of Fractions Calculator tool to compute the GCF of 529/348, 270/636 i.e 1/18444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/348, 270/636.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 529/348,270/636
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 529/348,270/636, numerators are 529,270
Denominators are 348,636
The GCF of 529,270 is 1 .
LCM of 348,636 is 18444.
The greatest common factor of 529/348,270/636 = [GCF of 529,270]/[LCM of 348,636]= 1/18444
Therefore, the GCF of 529/348,270/636 is 1/18444.
To find the highest common factor of 529,270, 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 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 529,270 is 1.
Lets's calculate GCF of 529,270
∴ 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 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 529,270 . The biggest common factor number is the GCF number.
So the greatest common factor 529,270 is 1.
Lets's calculate LCM of 348,636
2 | 348, 636 |
2 | 174, 318 |
3 | 87, 159 |
29, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 53 = 18444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18444
Therefore, the GCF of Fractions 529/348,270/636 is 1/18444
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 348,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,636) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,636) x common factors =12 x 1 = 12
LCM(348,636) = ( 348 × 636 ) / 12
LCM(348,636) = 221328 / 12
LCM(348,636) = 18444
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 529,270?
The HCF of 529,270 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 529/348, 270/636?
Answer: GCF of Numerators as per given numbers 529/348, 270/636 is
GCF of Numerators i.e. for 529,270 is 1
LCM of denominators i.e. for 348,636 is 18444.
Thus, GCF of Fractions is 1/18444.Finally, GCF of Fractions for 529/348, 270/636 is 1/18444.