Use our free GCF of Fractions Calculator tool to compute the GCF of 267/749, 361/629 i.e 1/471121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/749, 361/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/749,361/629
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 267/749,361/629, numerators are 267,361
Denominators are 749,629
The GCF of 267,361 is 1 .
LCM of 749,629 is 471121.
The greatest common factor of 267/749,361/629 = [GCF of 267,361]/[LCM of 749,629]= 1/471121
Therefore, the GCF of 267/749,361/629 is 1/471121.
To find the highest common factor of 267,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 361 are 1, 19, 361
The HCF of 267,361 is 1.
Lets's calculate GCF of 267,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 267,361 . The biggest common factor number is the GCF number.
So the greatest common factor 267,361 is 1.
Lets's calculate LCM of 749,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 471121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/471121
Therefore, the GCF of Fractions 267/749,361/629 is 1/471121
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 749,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,629) x common factors =1 x 1 = 1
LCM(749,629) = ( 749 × 629 ) / 1
LCM(749,629) = 471121 / 1
LCM(749,629) = 471121
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 267,361?
The HCF of 267,361 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 267/749, 361/629?
Answer: GCF of Numerators as per given numbers 267/749, 361/629 is
GCF of Numerators i.e. for 267,361 is 1
LCM of denominators i.e. for 749,629 is 471121.
Thus, GCF of Fractions is 1/471121.Finally, GCF of Fractions for 267/749, 361/629 is 1/471121.