Use our free GCF of Fractions Calculator tool to compute the GCF of 987/827, 731/411 i.e 1/339897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/827, 731/411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 987/827,731/411
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 987/827,731/411, numerators are 987,731
Denominators are 827,411
The GCF of 987,731 is 1 .
LCM of 827,411 is 339897.
The greatest common factor of 987/827,731/411 = [GCF of 987,731]/[LCM of 827,411]= 1/339897
Therefore, the GCF of 987/827,731/411 is 1/339897.
To find the highest common factor of 987,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987
The factors of 731 are 1, 17, 43, 731
The HCF of 987,731 is 1.
Lets's calculate GCF of 987,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 987
:1,3,7,21,47,141,329,987
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 987,731 . The biggest common factor number is the GCF number.
So the greatest common factor 987,731 is 1.
Lets's calculate LCM of 827,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 339897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339897
Therefore, the GCF of Fractions 987/827,731/411 is 1/339897
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 827,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,411) x common factors =1 x 1 = 1
LCM(827,411) = ( 827 × 411 ) / 1
LCM(827,411) = 339897 / 1
LCM(827,411) = 339897
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 987,731?
The HCF of 987,731 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 987/827, 731/411?
Answer: GCF of Numerators as per given numbers 987/827, 731/411 is
GCF of Numerators i.e. for 987,731 is 1
LCM of denominators i.e. for 827,411 is 339897.
Thus, GCF of Fractions is 1/339897.Finally, GCF of Fractions for 987/827, 731/411 is 1/339897.