Use our free GCF of Fractions Calculator tool to compute the GCF of 82/50, 359/21, 931/473 i.e 1/496650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/50, 359/21, 931/473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/50,359/21,931/473
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 82/50,359/21,931/473, numerators are 82,359,931
Denominators are 50,21,473
The GCF of 82,359,931 is 1 .
LCM of 50,21,473 is 496650.
The greatest common factor of 82/50,359/21,931/473 = [GCF of 82,359,931]/[LCM of 50,21,473]= 1/496650
Therefore, the GCF of 82/50,359/21,931/473 is 1/496650.
To find the highest common factor of 82,359,931, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 359 are 1, 359
The factors of 931 are 1, 7, 19, 49, 133, 931
The HCF of 82,359,931 is 1.
Lets's calculate GCF of 82,359,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 359
:1,359
Now, list down the factors of 931
:1,7,19,49,133,931
Greatest Common Factor
We found the factors 82,359,931 . The biggest common factor number is the GCF number.
So the greatest common factor 82,359,931 is 1.
Lets's calculate LCM of 50,21,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 496650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496650
Therefore, the GCF of Fractions 82/50,359/21,931/473 is 1/496650
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 50,21,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,21,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,21,473) x common factors =1 x 1 = 1
LCM(50,21,473) = ( 50 × 21 × 473 ) / 1
LCM(50,21,473) = 496650 / 1
LCM(50,21,473) = 496650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,359,931?
The HCF of 82,359,931 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 82/50, 359/21, 931/473?
Answer: GCF of Numerators as per given numbers 82/50, 359/21, 931/473 is
GCF of Numerators i.e. for 82,359,931 is 1
LCM of denominators i.e. for 50,21,473 is 496650.
Thus, GCF of Fractions is 1/496650.Finally, GCF of Fractions for 82/50, 359/21, 931/473 is 1/496650.