Use our free GCF of Fractions Calculator tool to compute the GCF of 953/519, 649/394 i.e 1/204486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 953/519, 649/394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/519,649/394
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 953/519,649/394, numerators are 953,649
Denominators are 519,394
The GCF of 953,649 is 1 .
LCM of 519,394 is 204486.
The greatest common factor of 953/519,649/394 = [GCF of 953,649]/[LCM of 519,394]= 1/204486
Therefore, the GCF of 953/519,649/394 is 1/204486.
To find the highest common factor of 953,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 953 are 1, 953
The factors of 649 are 1, 11, 59, 649
The HCF of 953,649 is 1.
Lets's calculate GCF of 953,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 953
:1,953
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 953,649 . The biggest common factor number is the GCF number.
So the greatest common factor 953,649 is 1.
Lets's calculate LCM of 519,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 204486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204486
Therefore, the GCF of Fractions 953/519,649/394 is 1/204486
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 519,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,394) x common factors =1 x 1 = 1
LCM(519,394) = ( 519 × 394 ) / 1
LCM(519,394) = 204486 / 1
LCM(519,394) = 204486
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 953,649?
The HCF of 953,649 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 953/519, 649/394?
Answer: GCF of Numerators as per given numbers 953/519, 649/394 is
GCF of Numerators i.e. for 953,649 is 1
LCM of denominators i.e. for 519,394 is 204486.
Thus, GCF of Fractions is 1/204486.Finally, GCF of Fractions for 953/519, 649/394 is 1/204486.