Use our free GCF of Fractions Calculator tool to compute the GCF of 504/231, 628/745 i.e 4/172095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/231, 628/745.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/231,628/745
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 504/231,628/745, numerators are 504,628
Denominators are 231,745
The GCF of 504,628 is 4 .
LCM of 231,745 is 172095.
The greatest common factor of 504/231,628/745 = [GCF of 504,628]/[LCM of 231,745]= 4/172095
Therefore, the GCF of 504/231,628/745 is 4/172095.
To find the highest common factor of 504,628, 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 628 are 1, 2, 4, 157, 314, 628
The HCF of 504,628 is 4.
Lets's calculate GCF of 504,628
2 | 504, 628 |
2 | 252, 314 |
126, 157 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 628
:1,2,4,157,314,628
Greatest Common Factor
We found the factors 504,628 . The biggest common factor number is the GCF number.
So the greatest common factor 504,628 is 4.
Lets's calculate LCM of 231,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 172095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/172095
Therefore, the GCF of Fractions 504/231,628/745 is 4/172095
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 231,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,745) x common factors =1 x 1 = 1
LCM(231,745) = ( 231 × 745 ) / 1
LCM(231,745) = 172095 / 1
LCM(231,745) = 172095
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 504,628?
The HCF of 504,628 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 504/231, 628/745?
Answer: GCF of Numerators as per given numbers 504/231, 628/745 is
GCF of Numerators i.e. for 504,628 is 4
LCM of denominators i.e. for 231,745 is 172095.
Thus, GCF of Fractions is 4/172095.Finally, GCF of Fractions for 504/231, 628/745 is 4/172095.