Use our free GCF of Fractions Calculator tool to compute the GCF of 492/531, 881/921 i.e 1/163017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/531, 881/921.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/531,881/921
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 492/531,881/921, numerators are 492,881
Denominators are 531,921
The GCF of 492,881 is 1 .
LCM of 531,921 is 163017.
The greatest common factor of 492/531,881/921 = [GCF of 492,881]/[LCM of 531,921]= 1/163017
Therefore, the GCF of 492/531,881/921 is 1/163017.
To find the highest common factor of 492,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 881 are 1, 881
The HCF of 492,881 is 1.
Lets's calculate GCF of 492,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 492,881 . The biggest common factor number is the GCF number.
So the greatest common factor 492,881 is 1.
Lets's calculate LCM of 531,921
3 | 531, 921 |
177, 307 |
∴ So the LCM of the given numbers is 3 x 177 x 307 = 163017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163017
Therefore, the GCF of Fractions 492/531,881/921 is 1/163017
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 531,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,921) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,921) x common factors =3 x 1 = 3
LCM(531,921) = ( 531 × 921 ) / 3
LCM(531,921) = 489051 / 3
LCM(531,921) = 163017
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 492,881?
The HCF of 492,881 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 492/531, 881/921?
Answer: GCF of Numerators as per given numbers 492/531, 881/921 is
GCF of Numerators i.e. for 492,881 is 1
LCM of denominators i.e. for 531,921 is 163017.
Thus, GCF of Fractions is 1/163017.Finally, GCF of Fractions for 492/531, 881/921 is 1/163017.