Use our free GCF of Fractions Calculator tool to compute the GCF of 629/835, 940/778 i.e 1/649630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/835, 940/778.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/835,940/778
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 629/835,940/778, numerators are 629,940
Denominators are 835,778
The GCF of 629,940 is 1 .
LCM of 835,778 is 649630.
The greatest common factor of 629/835,940/778 = [GCF of 629,940]/[LCM of 835,778]= 1/649630
Therefore, the GCF of 629/835,940/778 is 1/649630.
To find the highest common factor of 629,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 629,940 is 1.
Lets's calculate GCF of 629,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 629,940 . The biggest common factor number is the GCF number.
So the greatest common factor 629,940 is 1.
Lets's calculate LCM of 835,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 649630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/649630
Therefore, the GCF of Fractions 629/835,940/778 is 1/649630
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 835,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,778) x common factors =1 x 1 = 1
LCM(835,778) = ( 835 × 778 ) / 1
LCM(835,778) = 649630 / 1
LCM(835,778) = 649630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,940?
The HCF of 629,940 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 629/835, 940/778?
Answer: GCF of Numerators as per given numbers 629/835, 940/778 is
GCF of Numerators i.e. for 629,940 is 1
LCM of denominators i.e. for 835,778 is 649630.
Thus, GCF of Fractions is 1/649630.Finally, GCF of Fractions for 629/835, 940/778 is 1/649630.