Use our free GCF of Fractions Calculator tool to compute the GCF of 1624/264, 6416/7241 i.e 8/1911624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1624/264, 6416/7241.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1624/264,6416/7241
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 1624/264,6416/7241, numerators are 1624,6416
Denominators are 264,7241
The GCF of 1624,6416 is 8 .
LCM of 264,7241 is 1911624.
The greatest common factor of 1624/264,6416/7241 = [GCF of 1624,6416]/[LCM of 264,7241]= 8/1911624
Therefore, the GCF of 1624/264,6416/7241 is 8/1911624.
To find the highest common factor of 1624,6416, we have to find the factors of both numbers and list the highest common factor.
The factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416
The HCF of 1624,6416 is 8.
Lets's calculate GCF of 1624,6416
2 | 1624, 6416 |
2 | 812, 3208 |
2 | 406, 1604 |
203, 802 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 1624
:1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Now, list down the factors of 6416
:1,2,4,8,16,401,802,1604,3208,6416
Greatest Common Factor
We found the factors 1624,6416 . The biggest common factor number is the GCF number.
So the greatest common factor 1624,6416 is 8.
Lets's calculate LCM of 264,7241
Given numbers has no common factors except 1. So, there LCM is their product i.e 1911624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1911624
Therefore, the GCF of Fractions 1624/264,6416/7241 is 8/1911624
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 264,7241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,7241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,7241) x common factors =1 x 1 = 1
LCM(264,7241) = ( 264 × 7241 ) / 1
LCM(264,7241) = 1911624 / 1
LCM(264,7241) = 1911624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1624,6416?
The HCF of 1624,6416 is 8
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 1624/264, 6416/7241?
Answer: GCF of Numerators as per given numbers 1624/264, 6416/7241 is
GCF of Numerators i.e. for 1624,6416 is 8
LCM of denominators i.e. for 264,7241 is 1911624.
Thus, GCF of Fractions is 8/1911624.Finally, GCF of Fractions for 1624/264, 6416/7241 is 8/1911624.