Use our free GCF of Fractions Calculator tool to compute the GCF of 5529/452, 5126/714 i.e 1/161364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5529/452, 5126/714.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5529/452,5126/714
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 5529/452,5126/714, numerators are 5529,5126
Denominators are 452,714
The GCF of 5529,5126 is 1 .
LCM of 452,714 is 161364.
The greatest common factor of 5529/452,5126/714 = [GCF of 5529,5126]/[LCM of 452,714]= 1/161364
Therefore, the GCF of 5529/452,5126/714 is 1/161364.
To find the highest common factor of 5529,5126, we have to find the factors of both numbers and list the highest common factor.
The factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529
The factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126
The HCF of 5529,5126 is 1.
Lets's calculate GCF of 5529,5126
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5529
:1,3,19,57,97,291,1843,5529
Now, list down the factors of 5126
:1,2,11,22,233,466,2563,5126
Greatest Common Factor
We found the factors 5529,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 5529,5126 is 1.
Lets's calculate LCM of 452,714
2 | 452, 714 |
226, 357 |
∴ So the LCM of the given numbers is 2 x 226 x 357 = 161364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161364
Therefore, the GCF of Fractions 5529/452,5126/714 is 1/161364
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 452,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,714) x common factors =2 x 1 = 2
LCM(452,714) = ( 452 × 714 ) / 2
LCM(452,714) = 322728 / 2
LCM(452,714) = 161364
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5529,5126?
The HCF of 5529,5126 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 5529/452, 5126/714?
Answer: GCF of Numerators as per given numbers 5529/452, 5126/714 is
GCF of Numerators i.e. for 5529,5126 is 1
LCM of denominators i.e. for 452,714 is 161364.
Thus, GCF of Fractions is 1/161364.Finally, GCF of Fractions for 5529/452, 5126/714 is 1/161364.