Use our free GCF of Fractions Calculator tool to compute the GCF of 40/32, 830/59, 842/643 i.e 2/1213984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/32, 830/59, 842/643.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/32,830/59,842/643
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 40/32,830/59,842/643, numerators are 40,830,842
Denominators are 32,59,643
The GCF of 40,830,842 is 2 .
LCM of 32,59,643 is 1213984.
The greatest common factor of 40/32,830/59,842/643 = [GCF of 40,830,842]/[LCM of 32,59,643]= 2/1213984
Therefore, the GCF of 40/32,830/59,842/643 is 2/1213984.
To find the highest common factor of 40,830,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 842 are 1, 2, 421, 842
The HCF of 40,830,842 is 2.
Lets's calculate GCF of 40,830,842
2 | 40, 830, 842 |
20, 415, 421 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 40,830,842 . The biggest common factor number is the GCF number.
So the greatest common factor 40,830,842 is 2.
Lets's calculate LCM of 32,59,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1213984
Therefore, the GCF of Fractions 40/32,830/59,842/643 is 2/1213984
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 32,59,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,59,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,59,643) x common factors =1 x 1 = 1
LCM(32,59,643) = ( 32 × 59 × 643 ) / 1
LCM(32,59,643) = 1213984 / 1
LCM(32,59,643) = 1213984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,830,842?
The HCF of 40,830,842 is 2
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 40/32, 830/59, 842/643?
Answer: GCF of Numerators as per given numbers 40/32, 830/59, 842/643 is
GCF of Numerators i.e. for 40,830,842 is 2
LCM of denominators i.e. for 32,59,643 is 1213984.
Thus, GCF of Fractions is 2/1213984.Finally, GCF of Fractions for 40/32, 830/59, 842/643 is 2/1213984.