Use our free GCF of Fractions Calculator tool to compute the GCF of 169/502, 582/748 i.e 1/187748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/502, 582/748.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 169/502,582/748
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 169/502,582/748, numerators are 169,582
Denominators are 502,748
The GCF of 169,582 is 1 .
LCM of 502,748 is 187748.
The greatest common factor of 169/502,582/748 = [GCF of 169,582]/[LCM of 502,748]= 1/187748
Therefore, the GCF of 169/502,582/748 is 1/187748.
To find the highest common factor of 169,582, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 169,582 is 1.
Lets's calculate GCF of 169,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 169,582 . The biggest common factor number is the GCF number.
So the greatest common factor 169,582 is 1.
Lets's calculate LCM of 502,748
2 | 502, 748 |
251, 374 |
∴ So the LCM of the given numbers is 2 x 251 x 374 = 187748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187748
Therefore, the GCF of Fractions 169/502,582/748 is 1/187748
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 502,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,748) x common factors =2 x 1 = 2
LCM(502,748) = ( 502 × 748 ) / 2
LCM(502,748) = 375496 / 2
LCM(502,748) = 187748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 169,582?
The HCF of 169,582 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 169/502, 582/748?
Answer: GCF of Numerators as per given numbers 169/502, 582/748 is
GCF of Numerators i.e. for 169,582 is 1
LCM of denominators i.e. for 502,748 is 187748.
Thus, GCF of Fractions is 1/187748.Finally, GCF of Fractions for 169/502, 582/748 is 1/187748.