Use our free GCF of Fractions Calculator tool to compute the GCF of 749/303, 845/629 i.e 1/190587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/303, 845/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/303,845/629
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 749/303,845/629, numerators are 749,845
Denominators are 303,629
The GCF of 749,845 is 1 .
LCM of 303,629 is 190587.
The greatest common factor of 749/303,845/629 = [GCF of 749,845]/[LCM of 303,629]= 1/190587
Therefore, the GCF of 749/303,845/629 is 1/190587.
To find the highest common factor of 749,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 749,845 is 1.
Lets's calculate GCF of 749,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 749,845 . The biggest common factor number is the GCF number.
So the greatest common factor 749,845 is 1.
Lets's calculate LCM of 303,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 190587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190587
Therefore, the GCF of Fractions 749/303,845/629 is 1/190587
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 303,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,629) x common factors =1 x 1 = 1
LCM(303,629) = ( 303 × 629 ) / 1
LCM(303,629) = 190587 / 1
LCM(303,629) = 190587
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,845?
The HCF of 749,845 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 749/303, 845/629?
Answer: GCF of Numerators as per given numbers 749/303, 845/629 is
GCF of Numerators i.e. for 749,845 is 1
LCM of denominators i.e. for 303,629 is 190587.
Thus, GCF of Fractions is 1/190587.Finally, GCF of Fractions for 749/303, 845/629 is 1/190587.