Use our free GCF of Fractions Calculator tool to compute the GCF of 534/316, 398/131 i.e 2/41396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/316, 398/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/316,398/131
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 534/316,398/131, numerators are 534,398
Denominators are 316,131
The GCF of 534,398 is 2 .
LCM of 316,131 is 41396.
The greatest common factor of 534/316,398/131 = [GCF of 534,398]/[LCM of 316,131]= 2/41396
Therefore, the GCF of 534/316,398/131 is 2/41396.
To find the highest common factor of 534,398, 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 398 are 1, 2, 199, 398
The HCF of 534,398 is 2.
Lets's calculate GCF of 534,398
2 | 534, 398 |
267, 199 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 534,398 . The biggest common factor number is the GCF number.
So the greatest common factor 534,398 is 2.
Lets's calculate LCM of 316,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 41396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41396
Therefore, the GCF of Fractions 534/316,398/131 is 2/41396
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 316,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,131) x common factors =1 x 1 = 1
LCM(316,131) = ( 316 × 131 ) / 1
LCM(316,131) = 41396 / 1
LCM(316,131) = 41396
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 534,398?
The HCF of 534,398 is 2
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 534/316, 398/131?
Answer: GCF of Numerators as per given numbers 534/316, 398/131 is
GCF of Numerators i.e. for 534,398 is 2
LCM of denominators i.e. for 316,131 is 41396.
Thus, GCF of Fractions is 2/41396.Finally, GCF of Fractions for 534/316, 398/131 is 2/41396.