Use our free GCF of Fractions Calculator tool to compute the GCF of 49/82, 539/11, 658/993 i.e 7/895686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/82, 539/11, 658/993.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/82,539/11,658/993
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 49/82,539/11,658/993, numerators are 49,539,658
Denominators are 82,11,993
The GCF of 49,539,658 is 7 .
LCM of 82,11,993 is 895686.
The greatest common factor of 49/82,539/11,658/993 = [GCF of 49,539,658]/[LCM of 82,11,993]= 7/895686
Therefore, the GCF of 49/82,539/11,658/993 is 7/895686.
To find the highest common factor of 49,539,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 49,539,658 is 7.
Lets's calculate GCF of 49,539,658
7 | 49, 539, 658 |
7, 77, 94 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 49,539,658 . The biggest common factor number is the GCF number.
So the greatest common factor 49,539,658 is 7.
Lets's calculate LCM of 82,11,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 895686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/895686
Therefore, the GCF of Fractions 49/82,539/11,658/993 is 7/895686
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 82,11,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,11,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,11,993) x common factors =1 x 1 = 1
LCM(82,11,993) = ( 82 × 11 × 993 ) / 1
LCM(82,11,993) = 895686 / 1
LCM(82,11,993) = 895686
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,539,658?
The HCF of 49,539,658 is 7
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 49/82, 539/11, 658/993?
Answer: GCF of Numerators as per given numbers 49/82, 539/11, 658/993 is
GCF of Numerators i.e. for 49,539,658 is 7
LCM of denominators i.e. for 82,11,993 is 895686.
Thus, GCF of Fractions is 7/895686.Finally, GCF of Fractions for 49/82, 539/11, 658/993 is 7/895686.