Use our free GCF of Fractions Calculator tool to compute the GCF of 623/693, 512/729 i.e 1/56133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/693, 512/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/693,512/729
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 623/693,512/729, numerators are 623,512
Denominators are 693,729
The GCF of 623,512 is 1 .
LCM of 693,729 is 56133.
The greatest common factor of 623/693,512/729 = [GCF of 623,512]/[LCM of 693,729]= 1/56133
Therefore, the GCF of 623/693,512/729 is 1/56133.
To find the highest common factor of 623,512, 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 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 623,512 is 1.
Lets's calculate GCF of 623,512
∴ 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 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 623,512 . The biggest common factor number is the GCF number.
So the greatest common factor 623,512 is 1.
Lets's calculate LCM of 693,729
3 | 693, 729 |
3 | 231, 243 |
77, 81 |
∴ So the LCM of the given numbers is 3 x 3 x 77 x 81 = 56133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56133
Therefore, the GCF of Fractions 623/693,512/729 is 1/56133
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 693,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,729) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(693,729) x common factors =9 x 1 = 9
LCM(693,729) = ( 693 × 729 ) / 9
LCM(693,729) = 505197 / 9
LCM(693,729) = 56133
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 623,512?
The HCF of 623,512 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 623/693, 512/729?
Answer: GCF of Numerators as per given numbers 623/693, 512/729 is
GCF of Numerators i.e. for 623,512 is 1
LCM of denominators i.e. for 693,729 is 56133.
Thus, GCF of Fractions is 1/56133.Finally, GCF of Fractions for 623/693, 512/729 is 1/56133.