Use our free GCF of Fractions Calculator tool to compute the GCF of 629/266, 843/617 i.e 1/164122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/266, 843/617.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/266,843/617
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 629/266,843/617, numerators are 629,843
Denominators are 266,617
The GCF of 629,843 is 1 .
LCM of 266,617 is 164122.
The greatest common factor of 629/266,843/617 = [GCF of 629,843]/[LCM of 266,617]= 1/164122
Therefore, the GCF of 629/266,843/617 is 1/164122.
To find the highest common factor of 629,843, 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 843 are 1, 3, 281, 843
The HCF of 629,843 is 1.
Lets's calculate GCF of 629,843
∴ 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 843
:1,3,281,843
Greatest Common Factor
We found the factors 629,843 . The biggest common factor number is the GCF number.
So the greatest common factor 629,843 is 1.
Lets's calculate LCM of 266,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 164122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164122
Therefore, the GCF of Fractions 629/266,843/617 is 1/164122
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 266,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,617) x common factors =1 x 1 = 1
LCM(266,617) = ( 266 × 617 ) / 1
LCM(266,617) = 164122 / 1
LCM(266,617) = 164122
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,843?
The HCF of 629,843 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 629/266, 843/617?
Answer: GCF of Numerators as per given numbers 629/266, 843/617 is
GCF of Numerators i.e. for 629,843 is 1
LCM of denominators i.e. for 266,617 is 164122.
Thus, GCF of Fractions is 1/164122.Finally, GCF of Fractions for 629/266, 843/617 is 1/164122.