Use our free GCF of Fractions Calculator tool to compute the GCF of 982/399, 609/169 i.e 1/67431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/399, 609/169.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/399,609/169
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 982/399,609/169, numerators are 982,609
Denominators are 399,169
The GCF of 982,609 is 1 .
LCM of 399,169 is 67431.
The greatest common factor of 982/399,609/169 = [GCF of 982,609]/[LCM of 399,169]= 1/67431
Therefore, the GCF of 982/399,609/169 is 1/67431.
To find the highest common factor of 982,609, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 982,609 is 1.
Lets's calculate GCF of 982,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 982,609 . The biggest common factor number is the GCF number.
So the greatest common factor 982,609 is 1.
Lets's calculate LCM of 399,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 67431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67431
Therefore, the GCF of Fractions 982/399,609/169 is 1/67431
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 399,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,169) x common factors =1 x 1 = 1
LCM(399,169) = ( 399 × 169 ) / 1
LCM(399,169) = 67431 / 1
LCM(399,169) = 67431
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 982,609?
The HCF of 982,609 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 982/399, 609/169?
Answer: GCF of Numerators as per given numbers 982/399, 609/169 is
GCF of Numerators i.e. for 982,609 is 1
LCM of denominators i.e. for 399,169 is 67431.
Thus, GCF of Fractions is 1/67431.Finally, GCF of Fractions for 982/399, 609/169 is 1/67431.