Use our free GCF of Fractions Calculator tool to compute the GCF of 504/554, 665/358 i.e 7/99166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/554, 665/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/554,665/358
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 504/554,665/358, numerators are 504,665
Denominators are 554,358
The GCF of 504,665 is 7 .
LCM of 554,358 is 99166.
The greatest common factor of 504/554,665/358 = [GCF of 504,665]/[LCM of 554,358]= 7/99166
Therefore, the GCF of 504/554,665/358 is 7/99166.
To find the highest common factor of 504,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 504,665 is 7.
Lets's calculate GCF of 504,665
7 | 504, 665 |
72, 95 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 504,665 . The biggest common factor number is the GCF number.
So the greatest common factor 504,665 is 7.
Lets's calculate LCM of 554,358
2 | 554, 358 |
277, 179 |
∴ So the LCM of the given numbers is 2 x 277 x 179 = 99166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/99166
Therefore, the GCF of Fractions 504/554,665/358 is 7/99166
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 554,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,358) x common factors =2 x 1 = 2
LCM(554,358) = ( 554 × 358 ) / 2
LCM(554,358) = 198332 / 2
LCM(554,358) = 99166
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 504,665?
The HCF of 504,665 is 7
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 504/554, 665/358?
Answer: GCF of Numerators as per given numbers 504/554, 665/358 is
GCF of Numerators i.e. for 504,665 is 7
LCM of denominators i.e. for 554,358 is 99166.
Thus, GCF of Fractions is 7/99166.Finally, GCF of Fractions for 504/554, 665/358 is 7/99166.