Use our free GCF of Fractions Calculator tool to compute the GCF of 35/404, 81/374, 731/364 i.e 1/6874868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/404, 81/374, 731/364.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/404,81/374,731/364
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 35/404,81/374,731/364, numerators are 35,81,731
Denominators are 404,374,364
The GCF of 35,81,731 is 1 .
LCM of 404,374,364 is 6874868.
The greatest common factor of 35/404,81/374,731/364 = [GCF of 35,81,731]/[LCM of 404,374,364]= 1/6874868
Therefore, the GCF of 35/404,81/374,731/364 is 1/6874868.
To find the highest common factor of 35,81,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 81 are 1, 3, 9, 27, 81
The factors of 731 are 1, 17, 43, 731
The HCF of 35,81,731 is 1.
Lets's calculate GCF of 35,81,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 35,81,731 . The biggest common factor number is the GCF number.
So the greatest common factor 35,81,731 is 1.
Lets's calculate LCM of 404,374,364
2 | 404, 374, 364 |
2 | 202, 187, 182 |
101, 187, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 187 x 91 = 6874868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6874868
Therefore, the GCF of Fractions 35/404,81/374,731/364 is 1/6874868
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 404,374,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,374,364) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(404,374,364) x common factors =2 x 4 = 8
LCM(404,374,364) = ( 404 × 374 × 364 ) / 8
LCM(404,374,364) = 54998944 / 8
LCM(404,374,364) = 6874868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,81,731?
The HCF of 35,81,731 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 35/404, 81/374, 731/364?
Answer: GCF of Numerators as per given numbers 35/404, 81/374, 731/364 is
GCF of Numerators i.e. for 35,81,731 is 1
LCM of denominators i.e. for 404,374,364 is 6874868.
Thus, GCF of Fractions is 1/6874868.Finally, GCF of Fractions for 35/404, 81/374, 731/364 is 1/6874868.