Use our free GCF of Fractions Calculator tool to compute the GCF of 629/722, 965/563 i.e 1/406486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/722, 965/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/722,965/563
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 629/722,965/563, numerators are 629,965
Denominators are 722,563
The GCF of 629,965 is 1 .
LCM of 722,563 is 406486.
The greatest common factor of 629/722,965/563 = [GCF of 629,965]/[LCM of 722,563]= 1/406486
Therefore, the GCF of 629/722,965/563 is 1/406486.
To find the highest common factor of 629,965, 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 965 are 1, 5, 193, 965
The HCF of 629,965 is 1.
Lets's calculate GCF of 629,965
∴ 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 965
:1,5,193,965
Greatest Common Factor
We found the factors 629,965 . The biggest common factor number is the GCF number.
So the greatest common factor 629,965 is 1.
Lets's calculate LCM of 722,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 406486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406486
Therefore, the GCF of Fractions 629/722,965/563 is 1/406486
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 722,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,563) x common factors =1 x 1 = 1
LCM(722,563) = ( 722 × 563 ) / 1
LCM(722,563) = 406486 / 1
LCM(722,563) = 406486
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,965?
The HCF of 629,965 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 629/722, 965/563?
Answer: GCF of Numerators as per given numbers 629/722, 965/563 is
GCF of Numerators i.e. for 629,965 is 1
LCM of denominators i.e. for 722,563 is 406486.
Thus, GCF of Fractions is 1/406486.Finally, GCF of Fractions for 629/722, 965/563 is 1/406486.