Use our free GCF of Fractions Calculator tool to compute the GCF of 267/237, 642/437 i.e 3/103569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/237, 642/437.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/237,642/437
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 267/237,642/437, numerators are 267,642
Denominators are 237,437
The GCF of 267,642 is 3 .
LCM of 237,437 is 103569.
The greatest common factor of 267/237,642/437 = [GCF of 267,642]/[LCM of 237,437]= 3/103569
Therefore, the GCF of 267/237,642/437 is 3/103569.
To find the highest common factor of 267,642, 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 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 267,642 is 3.
Lets's calculate GCF of 267,642
3 | 267, 642 |
89, 214 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 267,642 . The biggest common factor number is the GCF number.
So the greatest common factor 267,642 is 3.
Lets's calculate LCM of 237,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 103569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/103569
Therefore, the GCF of Fractions 267/237,642/437 is 3/103569
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 237,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,437) x common factors =1 x 1 = 1
LCM(237,437) = ( 237 × 437 ) / 1
LCM(237,437) = 103569 / 1
LCM(237,437) = 103569
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 267,642?
The HCF of 267,642 is 3
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 267/237, 642/437?
Answer: GCF of Numerators as per given numbers 267/237, 642/437 is
GCF of Numerators i.e. for 267,642 is 3
LCM of denominators i.e. for 237,437 is 103569.
Thus, GCF of Fractions is 3/103569.Finally, GCF of Fractions for 267/237, 642/437 is 3/103569.