Use our free GCF of Fractions Calculator tool to compute the GCF of 6183/452, 5454/6448 i.e 27/728624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6183/452, 5454/6448.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6183/452,5454/6448
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 6183/452,5454/6448, numerators are 6183,5454
Denominators are 452,6448
The GCF of 6183,5454 is 27 .
LCM of 452,6448 is 728624.
The greatest common factor of 6183/452,5454/6448 = [GCF of 6183,5454]/[LCM of 452,6448]= 27/728624
Therefore, the GCF of 6183/452,5454/6448 is 27/728624.
To find the highest common factor of 6183,5454, we have to find the factors of both numbers and list the highest common factor.
The factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The HCF of 6183,5454 is 27.
Lets's calculate GCF of 6183,5454
3 | 6183, 5454 |
3 | 2061, 1818 |
3 | 687, 606 |
229, 202 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Now, list down the factors of 6183
:1,3,9,27,229,687,2061,6183
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 6183,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 6183,5454 is 27.
Lets's calculate LCM of 452,6448
2 | 452, 6448 |
2 | 226, 3224 |
113, 1612 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 1612 = 728624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/728624
Therefore, the GCF of Fractions 6183/452,5454/6448 is 27/728624
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 452,6448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,6448) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,6448) x common factors =4 x 1 = 4
LCM(452,6448) = ( 452 × 6448 ) / 4
LCM(452,6448) = 2914496 / 4
LCM(452,6448) = 728624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6183,5454?
The HCF of 6183,5454 is 27
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 6183/452, 5454/6448?
Answer: GCF of Numerators as per given numbers 6183/452, 5454/6448 is
GCF of Numerators i.e. for 6183,5454 is 27
LCM of denominators i.e. for 452,6448 is 728624.
Thus, GCF of Fractions is 27/728624.Finally, GCF of Fractions for 6183/452, 5454/6448 is 27/728624.