Use our free GCF of Fractions Calculator tool to compute the GCF of 623/811, 810/682 i.e 1/553102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/811, 810/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/811,810/682
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 623/811,810/682, numerators are 623,810
Denominators are 811,682
The GCF of 623,810 is 1 .
LCM of 811,682 is 553102.
The greatest common factor of 623/811,810/682 = [GCF of 623,810]/[LCM of 811,682]= 1/553102
Therefore, the GCF of 623/811,810/682 is 1/553102.
To find the highest common factor of 623,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 623 are 1, 7, 89, 623
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 623,810 is 1.
Lets's calculate GCF of 623,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 623
:1,7,89,623
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 623,810 . The biggest common factor number is the GCF number.
So the greatest common factor 623,810 is 1.
Lets's calculate LCM of 811,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 553102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553102
Therefore, the GCF of Fractions 623/811,810/682 is 1/553102
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 811,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,682) x common factors =1 x 1 = 1
LCM(811,682) = ( 811 × 682 ) / 1
LCM(811,682) = 553102 / 1
LCM(811,682) = 553102
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 623,810?
The HCF of 623,810 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 623/811, 810/682?
Answer: GCF of Numerators as per given numbers 623/811, 810/682 is
GCF of Numerators i.e. for 623,810 is 1
LCM of denominators i.e. for 811,682 is 553102.
Thus, GCF of Fractions is 1/553102.Finally, GCF of Fractions for 623/811, 810/682 is 1/553102.