Use our free GCF of Fractions Calculator tool to compute the GCF of 837/921, 8897/492 i.e 31/151044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/921, 8897/492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/921,8897/492
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 837/921,8897/492, numerators are 837,8897
Denominators are 921,492
The GCF of 837,8897 is 31 .
LCM of 921,492 is 151044.
The greatest common factor of 837/921,8897/492 = [GCF of 837,8897]/[LCM of 921,492]= 31/151044
Therefore, the GCF of 837/921,8897/492 is 31/151044.
To find the highest common factor of 837,8897, we have to find the factors of both numbers and list the highest common factor.
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897
The HCF of 837,8897 is 31.
Lets's calculate GCF of 837,8897
31 | 837, 8897 |
27, 287 |
∴ So the GCF of the given numbers is 31 = 31
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Now, list down the factors of 8897
:1,7,31,41,217,287,1271,8897
Greatest Common Factor
We found the factors 837,8897 . The biggest common factor number is the GCF number.
So the greatest common factor 837,8897 is 31.
Lets's calculate LCM of 921,492
3 | 921, 492 |
307, 164 |
∴ So the LCM of the given numbers is 3 x 307 x 164 = 151044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/151044
Therefore, the GCF of Fractions 837/921,8897/492 is 31/151044
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 921,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,492) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,492) x common factors =3 x 1 = 3
LCM(921,492) = ( 921 × 492 ) / 3
LCM(921,492) = 453132 / 3
LCM(921,492) = 151044
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 837,8897?
The HCF of 837,8897 is 31
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 837/921, 8897/492?
Answer: GCF of Numerators as per given numbers 837/921, 8897/492 is
GCF of Numerators i.e. for 837,8897 is 31
LCM of denominators i.e. for 921,492 is 151044.
Thus, GCF of Fractions is 31/151044.Finally, GCF of Fractions for 837/921, 8897/492 is 31/151044.