Use our free GCF of Fractions Calculator tool to compute the GCF of 410/644, 237/757 i.e 1/487508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/644, 237/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/644,237/757
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 410/644,237/757, numerators are 410,237
Denominators are 644,757
The GCF of 410,237 is 1 .
LCM of 644,757 is 487508.
The greatest common factor of 410/644,237/757 = [GCF of 410,237]/[LCM of 644,757]= 1/487508
Therefore, the GCF of 410/644,237/757 is 1/487508.
To find the highest common factor of 410,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 237 are 1, 3, 79, 237
The HCF of 410,237 is 1.
Lets's calculate GCF of 410,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 410,237 . The biggest common factor number is the GCF number.
So the greatest common factor 410,237 is 1.
Lets's calculate LCM of 644,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 487508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487508
Therefore, the GCF of Fractions 410/644,237/757 is 1/487508
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 644,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,757) x common factors =1 x 1 = 1
LCM(644,757) = ( 644 × 757 ) / 1
LCM(644,757) = 487508 / 1
LCM(644,757) = 487508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 410,237?
The HCF of 410,237 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 410/644, 237/757?
Answer: GCF of Numerators as per given numbers 410/644, 237/757 is
GCF of Numerators i.e. for 410,237 is 1
LCM of denominators i.e. for 644,757 is 487508.
Thus, GCF of Fractions is 1/487508.Finally, GCF of Fractions for 410/644, 237/757 is 1/487508.