Use our free GCF of Fractions Calculator tool to compute the GCF of 51/779, 782/667, 502/986 i.e 1/17666162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/779, 782/667, 502/986.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/779,782/667,502/986
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 51/779,782/667,502/986, numerators are 51,782,502
Denominators are 779,667,986
The GCF of 51,782,502 is 1 .
LCM of 779,667,986 is 17666162.
The greatest common factor of 51/779,782/667,502/986 = [GCF of 51,782,502]/[LCM of 779,667,986]= 1/17666162
Therefore, the GCF of 51/779,782/667,502/986 is 1/17666162.
To find the highest common factor of 51,782,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The factors of 502 are 1, 2, 251, 502
The HCF of 51,782,502 is 1.
Lets's calculate GCF of 51,782,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 51,782,502 . The biggest common factor number is the GCF number.
So the greatest common factor 51,782,502 is 1.
Lets's calculate LCM of 779,667,986
29 | 779, 667, 986 |
779, 23, 34 |
∴ So the LCM of the given numbers is 29 x 779 x 23 x 34 = 17666162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17666162
Therefore, the GCF of Fractions 51/779,782/667,502/986 is 1/17666162
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 779,667,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,667,986) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(779,667,986) x common factors =1 x 29 = 29
LCM(779,667,986) = ( 779 × 667 × 986 ) / 29
LCM(779,667,986) = 512318698 / 29
LCM(779,667,986) = 17666162
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,782,502?
The HCF of 51,782,502 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 51/779, 782/667, 502/986?
Answer: GCF of Numerators as per given numbers 51/779, 782/667, 502/986 is
GCF of Numerators i.e. for 51,782,502 is 1
LCM of denominators i.e. for 779,667,986 is 17666162.
Thus, GCF of Fractions is 1/17666162.Finally, GCF of Fractions for 51/779, 782/667, 502/986 is 1/17666162.