Use our free GCF of Fractions Calculator tool to compute the GCF of 6223/450, 3553/6465 i.e 1/193950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6223/450, 3553/6465.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6223/450,3553/6465
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 6223/450,3553/6465, numerators are 6223,3553
Denominators are 450,6465
The GCF of 6223,3553 is 1 .
LCM of 450,6465 is 193950.
The greatest common factor of 6223/450,3553/6465 = [GCF of 6223,3553]/[LCM of 450,6465]= 1/193950
Therefore, the GCF of 6223/450,3553/6465 is 1/193950.
To find the highest common factor of 6223,3553, we have to find the factors of both numbers and list the highest common factor.
The factors of 6223 are 1, 7, 49, 127, 889, 6223
The factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553
The HCF of 6223,3553 is 1.
Lets's calculate GCF of 6223,3553
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6223
:1,7,49,127,889,6223
Now, list down the factors of 3553
:1,11,17,19,187,209,323,3553
Greatest Common Factor
We found the factors 6223,3553 . The biggest common factor number is the GCF number.
So the greatest common factor 6223,3553 is 1.
Lets's calculate LCM of 450,6465
3 | 450, 6465 |
5 | 150, 2155 |
30, 431 |
∴ So the LCM of the given numbers is 3 x 5 x 30 x 431 = 193950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193950
Therefore, the GCF of Fractions 6223/450,3553/6465 is 1/193950
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 450,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,6465) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(450,6465) x common factors =15 x 1 = 15
LCM(450,6465) = ( 450 × 6465 ) / 15
LCM(450,6465) = 2909250 / 15
LCM(450,6465) = 193950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6223,3553?
The HCF of 6223,3553 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 6223/450, 3553/6465?
Answer: GCF of Numerators as per given numbers 6223/450, 3553/6465 is
GCF of Numerators i.e. for 6223,3553 is 1
LCM of denominators i.e. for 450,6465 is 193950.
Thus, GCF of Fractions is 1/193950.Finally, GCF of Fractions for 6223/450, 3553/6465 is 1/193950.