Use our free GCF of Fractions Calculator tool to compute the GCF of 371/774, 143/484 i.e 1/187308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/774, 143/484.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/774,143/484
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 371/774,143/484, numerators are 371,143
Denominators are 774,484
The GCF of 371,143 is 1 .
LCM of 774,484 is 187308.
The greatest common factor of 371/774,143/484 = [GCF of 371,143]/[LCM of 774,484]= 1/187308
Therefore, the GCF of 371/774,143/484 is 1/187308.
To find the highest common factor of 371,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 143 are 1, 11, 13, 143
The HCF of 371,143 is 1.
Lets's calculate GCF of 371,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 371,143 . The biggest common factor number is the GCF number.
So the greatest common factor 371,143 is 1.
Lets's calculate LCM of 774,484
2 | 774, 484 |
387, 242 |
∴ So the LCM of the given numbers is 2 x 387 x 242 = 187308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187308
Therefore, the GCF of Fractions 371/774,143/484 is 1/187308
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 774,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,484) x common factors =2 x 1 = 2
LCM(774,484) = ( 774 × 484 ) / 2
LCM(774,484) = 374616 / 2
LCM(774,484) = 187308
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,143?
The HCF of 371,143 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 371/774, 143/484?
Answer: GCF of Numerators as per given numbers 371/774, 143/484 is
GCF of Numerators i.e. for 371,143 is 1
LCM of denominators i.e. for 774,484 is 187308.
Thus, GCF of Fractions is 1/187308.Finally, GCF of Fractions for 371/774, 143/484 is 1/187308.