Use our free GCF of Fractions Calculator tool to compute the GCF of 295/287, 531/655 i.e 59/187985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/287, 531/655.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 295/287,531/655
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 295/287,531/655, numerators are 295,531
Denominators are 287,655
The GCF of 295,531 is 59 .
LCM of 287,655 is 187985.
The greatest common factor of 295/287,531/655 = [GCF of 295,531]/[LCM of 287,655]= 59/187985
Therefore, the GCF of 295/287,531/655 is 59/187985.
To find the highest common factor of 295,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 295 are 1, 5, 59, 295
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 295,531 is 59.
Lets's calculate GCF of 295,531
59 | 295, 531 |
5, 9 |
∴ So the GCF of the given numbers is 59 = 59
Now, list down the factors of 295
:1,5,59,295
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 295,531 . The biggest common factor number is the GCF number.
So the greatest common factor 295,531 is 59.
Lets's calculate LCM of 287,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 187985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/187985
Therefore, the GCF of Fractions 295/287,531/655 is 59/187985
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 287,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,655) x common factors =1 x 1 = 1
LCM(287,655) = ( 287 × 655 ) / 1
LCM(287,655) = 187985 / 1
LCM(287,655) = 187985
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 295,531?
The HCF of 295,531 is 59
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 295/287, 531/655?
Answer: GCF of Numerators as per given numbers 295/287, 531/655 is
GCF of Numerators i.e. for 295,531 is 59
LCM of denominators i.e. for 287,655 is 187985.
Thus, GCF of Fractions is 59/187985.Finally, GCF of Fractions for 295/287, 531/655 is 59/187985.