Use our free GCF of Fractions Calculator tool to compute the GCF of 534/812, 165/638 i.e 3/8932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/812, 165/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/812,165/638
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 534/812,165/638, numerators are 534,165
Denominators are 812,638
The GCF of 534,165 is 3 .
LCM of 812,638 is 8932.
The greatest common factor of 534/812,165/638 = [GCF of 534,165]/[LCM of 812,638]= 3/8932
Therefore, the GCF of 534/812,165/638 is 3/8932.
To find the highest common factor of 534,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 534,165 is 3.
Lets's calculate GCF of 534,165
3 | 534, 165 |
178, 55 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 534,165 . The biggest common factor number is the GCF number.
So the greatest common factor 534,165 is 3.
Lets's calculate LCM of 812,638
2 | 812, 638 |
29 | 406, 319 |
14, 11 |
∴ So the LCM of the given numbers is 2 x 29 x 14 x 11 = 8932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8932
Therefore, the GCF of Fractions 534/812,165/638 is 3/8932
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 812,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,638) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(812,638) x common factors =58 x 1 = 58
LCM(812,638) = ( 812 × 638 ) / 58
LCM(812,638) = 518056 / 58
LCM(812,638) = 8932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 534,165?
The HCF of 534,165 is 3
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 534/812, 165/638?
Answer: GCF of Numerators as per given numbers 534/812, 165/638 is
GCF of Numerators i.e. for 534,165 is 3
LCM of denominators i.e. for 812,638 is 8932.
Thus, GCF of Fractions is 3/8932.Finally, GCF of Fractions for 534/812, 165/638 is 3/8932.