Use our free GCF of Fractions Calculator tool to compute the GCF of 641/296, 502/592 i.e 1/592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/296, 502/592.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/296,502/592
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 641/296,502/592, numerators are 641,502
Denominators are 296,592
The GCF of 641,502 is 1 .
LCM of 296,592 is 592.
The greatest common factor of 641/296,502/592 = [GCF of 641,502]/[LCM of 296,592]= 1/592
Therefore, the GCF of 641/296,502/592 is 1/592.
To find the highest common factor of 641,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 502 are 1, 2, 251, 502
The HCF of 641,502 is 1.
Lets's calculate GCF of 641,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 641
:1,641
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 641,502 . The biggest common factor number is the GCF number.
So the greatest common factor 641,502 is 1.
Lets's calculate LCM of 296,592
2 | 296, 592 |
2 | 148, 296 |
2 | 74, 148 |
37 | 37, 74 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 1 x 2 = 592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/592
Therefore, the GCF of Fractions 641/296,502/592 is 1/592
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 296,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,592) = 296
common factors(in case of two or more numbers have common factors) = 1
GCF(296,592) x common factors =296 x 1 = 296
LCM(296,592) = ( 296 × 592 ) / 296
LCM(296,592) = 175232 / 296
LCM(296,592) = 592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 641,502?
The HCF of 641,502 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 641/296, 502/592?
Answer: GCF of Numerators as per given numbers 641/296, 502/592 is
GCF of Numerators i.e. for 641,502 is 1
LCM of denominators i.e. for 296,592 is 592.
Thus, GCF of Fractions is 1/592.Finally, GCF of Fractions for 641/296, 502/592 is 1/592.