Use our free GCF of Fractions Calculator tool to compute the GCF of 22/402, 452/318, 831/612 i.e 1/2173212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/402, 452/318, 831/612.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/402,452/318,831/612
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 22/402,452/318,831/612, numerators are 22,452,831
Denominators are 402,318,612
The GCF of 22,452,831 is 1 .
LCM of 402,318,612 is 2173212.
The greatest common factor of 22/402,452/318,831/612 = [GCF of 22,452,831]/[LCM of 402,318,612]= 1/2173212
Therefore, the GCF of 22/402,452/318,831/612 is 1/2173212.
To find the highest common factor of 22,452,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 831 are 1, 3, 277, 831
The HCF of 22,452,831 is 1.
Lets's calculate GCF of 22,452,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 22,452,831 . The biggest common factor number is the GCF number.
So the greatest common factor 22,452,831 is 1.
Lets's calculate LCM of 402,318,612
2 | 402, 318, 612 |
3 | 201, 159, 306 |
67, 53, 102 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 53 x 102 = 2173212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2173212
Therefore, the GCF of Fractions 22/402,452/318,831/612 is 1/2173212
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 402,318,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,318,612) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(402,318,612) x common factors =6 x 6 = 36
LCM(402,318,612) = ( 402 × 318 × 612 ) / 36
LCM(402,318,612) = 78235632 / 36
LCM(402,318,612) = 2173212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,452,831?
The HCF of 22,452,831 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 22/402, 452/318, 831/612?
Answer: GCF of Numerators as per given numbers 22/402, 452/318, 831/612 is
GCF of Numerators i.e. for 22,452,831 is 1
LCM of denominators i.e. for 402,318,612 is 2173212.
Thus, GCF of Fractions is 1/2173212.Finally, GCF of Fractions for 22/402, 452/318, 831/612 is 1/2173212.