Use our free GCF of Fractions Calculator tool to compute the GCF of 644/722, 324/676 i.e 4/244036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 644/722, 324/676.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/722,324/676
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 644/722,324/676, numerators are 644,324
Denominators are 722,676
The GCF of 644,324 is 4 .
LCM of 722,676 is 244036.
The greatest common factor of 644/722,324/676 = [GCF of 644,324]/[LCM of 722,676]= 4/244036
Therefore, the GCF of 644/722,324/676 is 4/244036.
To find the highest common factor of 644,324, we have to find the factors of both numbers and list the highest common factor.
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The HCF of 644,324 is 4.
Lets's calculate GCF of 644,324
2 | 644, 324 |
2 | 322, 162 |
161, 81 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 644,324 . The biggest common factor number is the GCF number.
So the greatest common factor 644,324 is 4.
Lets's calculate LCM of 722,676
2 | 722, 676 |
361, 338 |
∴ So the LCM of the given numbers is 2 x 361 x 338 = 244036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/244036
Therefore, the GCF of Fractions 644/722,324/676 is 4/244036
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 722,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,676) x common factors =2 x 1 = 2
LCM(722,676) = ( 722 × 676 ) / 2
LCM(722,676) = 488072 / 2
LCM(722,676) = 244036
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 644,324?
The HCF of 644,324 is 4
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 644/722, 324/676?
Answer: GCF of Numerators as per given numbers 644/722, 324/676 is
GCF of Numerators i.e. for 644,324 is 4
LCM of denominators i.e. for 722,676 is 244036.
Thus, GCF of Fractions is 4/244036.Finally, GCF of Fractions for 644/722, 324/676 is 4/244036.