Use our free GCF of Fractions Calculator tool to compute the GCF of 4068/771, 8987/1911 i.e 1/491127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4068/771, 8987/1911.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4068/771,8987/1911
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 4068/771,8987/1911, numerators are 4068,8987
Denominators are 771,1911
The GCF of 4068,8987 is 1 .
LCM of 771,1911 is 491127.
The greatest common factor of 4068/771,8987/1911 = [GCF of 4068,8987]/[LCM of 771,1911]= 1/491127
Therefore, the GCF of 4068/771,8987/1911 is 1/491127.
To find the highest common factor of 4068,8987, we have to find the factors of both numbers and list the highest common factor.
The factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068
The factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987
The HCF of 4068,8987 is 1.
Lets's calculate GCF of 4068,8987
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4068
:1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068
Now, list down the factors of 8987
:1,11,19,43,209,473,817,8987
Greatest Common Factor
We found the factors 4068,8987 . The biggest common factor number is the GCF number.
So the greatest common factor 4068,8987 is 1.
Lets's calculate LCM of 771,1911
3 | 771, 1911 |
257, 637 |
∴ So the LCM of the given numbers is 3 x 257 x 637 = 491127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491127
Therefore, the GCF of Fractions 4068/771,8987/1911 is 1/491127
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 771,1911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,1911) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,1911) x common factors =3 x 1 = 3
LCM(771,1911) = ( 771 × 1911 ) / 3
LCM(771,1911) = 1473381 / 3
LCM(771,1911) = 491127
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4068,8987?
The HCF of 4068,8987 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 4068/771, 8987/1911?
Answer: GCF of Numerators as per given numbers 4068/771, 8987/1911 is
GCF of Numerators i.e. for 4068,8987 is 1
LCM of denominators i.e. for 771,1911 is 491127.
Thus, GCF of Fractions is 1/491127.Finally, GCF of Fractions for 4068/771, 8987/1911 is 1/491127.