Use our free GCF of Fractions Calculator tool to compute the GCF of 51/40, 819/59, 657/359 i.e 3/847240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/40, 819/59, 657/359.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/40,819/59,657/359
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 51/40,819/59,657/359, numerators are 51,819,657
Denominators are 40,59,359
The GCF of 51,819,657 is 3 .
LCM of 40,59,359 is 847240.
The greatest common factor of 51/40,819/59,657/359 = [GCF of 51,819,657]/[LCM of 40,59,359]= 3/847240
Therefore, the GCF of 51/40,819/59,657/359 is 3/847240.
To find the highest common factor of 51,819,657, 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 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 51,819,657 is 3.
Lets's calculate GCF of 51,819,657
3 | 51, 819, 657 |
17, 273, 219 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 51,819,657 . The biggest common factor number is the GCF number.
So the greatest common factor 51,819,657 is 3.
Lets's calculate LCM of 40,59,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 847240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/847240
Therefore, the GCF of Fractions 51/40,819/59,657/359 is 3/847240
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 40,59,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,59,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,59,359) x common factors =1 x 1 = 1
LCM(40,59,359) = ( 40 × 59 × 359 ) / 1
LCM(40,59,359) = 847240 / 1
LCM(40,59,359) = 847240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,819,657?
The HCF of 51,819,657 is 3
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 51/40, 819/59, 657/359?
Answer: GCF of Numerators as per given numbers 51/40, 819/59, 657/359 is
GCF of Numerators i.e. for 51,819,657 is 3
LCM of denominators i.e. for 40,59,359 is 847240.
Thus, GCF of Fractions is 3/847240.Finally, GCF of Fractions for 51/40, 819/59, 657/359 is 3/847240.