Use our free GCF of Fractions Calculator tool to compute the GCF of 21/973, 339/500, 416/496 i.e 1/60326000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/973, 339/500, 416/496.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/973,339/500,416/496
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 21/973,339/500,416/496, numerators are 21,339,416
Denominators are 973,500,496
The GCF of 21,339,416 is 1 .
LCM of 973,500,496 is 60326000.
The greatest common factor of 21/973,339/500,416/496 = [GCF of 21,339,416]/[LCM of 973,500,496]= 1/60326000
Therefore, the GCF of 21/973,339/500,416/496 is 1/60326000.
To find the highest common factor of 21,339,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 339 are 1, 3, 113, 339
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 21,339,416 is 1.
Lets's calculate GCF of 21,339,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 21,339,416 . The biggest common factor number is the GCF number.
So the greatest common factor 21,339,416 is 1.
Lets's calculate LCM of 973,500,496
2 | 973, 500, 496 |
2 | 973, 250, 248 |
973, 125, 124 |
∴ So the LCM of the given numbers is 2 x 2 x 973 x 125 x 124 = 60326000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60326000
Therefore, the GCF of Fractions 21/973,339/500,416/496 is 1/60326000
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 973,500,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,500,496) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(973,500,496) x common factors =1 x 4 = 4
LCM(973,500,496) = ( 973 × 500 × 496 ) / 4
LCM(973,500,496) = 241304000 / 4
LCM(973,500,496) = 60326000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,339,416?
The HCF of 21,339,416 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 21/973, 339/500, 416/496?
Answer: GCF of Numerators as per given numbers 21/973, 339/500, 416/496 is
GCF of Numerators i.e. for 21,339,416 is 1
LCM of denominators i.e. for 973,500,496 is 60326000.
Thus, GCF of Fractions is 1/60326000.Finally, GCF of Fractions for 21/973, 339/500, 416/496 is 1/60326000.