Use our free GCF of Fractions Calculator tool to compute the GCF of 1687/904, 7734/185 i.e 1/167240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1687/904, 7734/185.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1687/904,7734/185
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 1687/904,7734/185, numerators are 1687,7734
Denominators are 904,185
The GCF of 1687,7734 is 1 .
LCM of 904,185 is 167240.
The greatest common factor of 1687/904,7734/185 = [GCF of 1687,7734]/[LCM of 904,185]= 1/167240
Therefore, the GCF of 1687/904,7734/185 is 1/167240.
To find the highest common factor of 1687,7734, we have to find the factors of both numbers and list the highest common factor.
The factors of 1687 are 1, 7, 241, 1687
The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734
The HCF of 1687,7734 is 1.
Lets's calculate GCF of 1687,7734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1687
:1,7,241,1687
Now, list down the factors of 7734
:1,2,3,6,1289,2578,3867,7734
Greatest Common Factor
We found the factors 1687,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,7734 is 1.
Lets's calculate LCM of 904,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 167240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167240
Therefore, the GCF of Fractions 1687/904,7734/185 is 1/167240
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 904,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,185) x common factors =1 x 1 = 1
LCM(904,185) = ( 904 × 185 ) / 1
LCM(904,185) = 167240 / 1
LCM(904,185) = 167240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1687,7734?
The HCF of 1687,7734 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 1687/904, 7734/185?
Answer: GCF of Numerators as per given numbers 1687/904, 7734/185 is
GCF of Numerators i.e. for 1687,7734 is 1
LCM of denominators i.e. for 904,185 is 167240.
Thus, GCF of Fractions is 1/167240.Finally, GCF of Fractions for 1687/904, 7734/185 is 1/167240.