Use our free GCF of Fractions Calculator tool to compute the GCF of 620/855, 634/311 i.e 2/265905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/855, 634/311.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/855,634/311
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 620/855,634/311, numerators are 620,634
Denominators are 855,311
The GCF of 620,634 is 2 .
LCM of 855,311 is 265905.
The greatest common factor of 620/855,634/311 = [GCF of 620,634]/[LCM of 855,311]= 2/265905
Therefore, the GCF of 620/855,634/311 is 2/265905.
To find the highest common factor of 620,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The factors of 634 are 1, 2, 317, 634
The HCF of 620,634 is 2.
Lets's calculate GCF of 620,634
2 | 620, 634 |
310, 317 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 620,634 . The biggest common factor number is the GCF number.
So the greatest common factor 620,634 is 2.
Lets's calculate LCM of 855,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 265905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265905
Therefore, the GCF of Fractions 620/855,634/311 is 2/265905
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 855,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,311) x common factors =1 x 1 = 1
LCM(855,311) = ( 855 × 311 ) / 1
LCM(855,311) = 265905 / 1
LCM(855,311) = 265905
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 620,634?
The HCF of 620,634 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 620/855, 634/311?
Answer: GCF of Numerators as per given numbers 620/855, 634/311 is
GCF of Numerators i.e. for 620,634 is 2
LCM of denominators i.e. for 855,311 is 265905.
Thus, GCF of Fractions is 2/265905.Finally, GCF of Fractions for 620/855, 634/311 is 2/265905.