Use our free GCF of Fractions Calculator tool to compute the GCF of 621/671, 194/773 i.e 1/518683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/671, 194/773.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/671,194/773
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 621/671,194/773, numerators are 621,194
Denominators are 671,773
The GCF of 621,194 is 1 .
LCM of 671,773 is 518683.
The greatest common factor of 621/671,194/773 = [GCF of 621,194]/[LCM of 671,773]= 1/518683
Therefore, the GCF of 621/671,194/773 is 1/518683.
To find the highest common factor of 621,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 194 are 1, 2, 97, 194
The HCF of 621,194 is 1.
Lets's calculate GCF of 621,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 621,194 . The biggest common factor number is the GCF number.
So the greatest common factor 621,194 is 1.
Lets's calculate LCM of 671,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 518683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518683
Therefore, the GCF of Fractions 621/671,194/773 is 1/518683
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 671,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,773) x common factors =1 x 1 = 1
LCM(671,773) = ( 671 × 773 ) / 1
LCM(671,773) = 518683 / 1
LCM(671,773) = 518683
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 621,194?
The HCF of 621,194 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 621/671, 194/773?
Answer: GCF of Numerators as per given numbers 621/671, 194/773 is
GCF of Numerators i.e. for 621,194 is 1
LCM of denominators i.e. for 671,773 is 518683.
Thus, GCF of Fractions is 1/518683.Finally, GCF of Fractions for 621/671, 194/773 is 1/518683.