Use our free GCF of Fractions Calculator tool to compute the GCF of 361/561, 442/561 i.e 1/561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 361/561, 442/561.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 361/561,442/561
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 361/561,442/561, numerators are 361,442
Denominators are 561,561
The GCF of 361,442 is 1 .
LCM of 561,561 is 561.
The greatest common factor of 361/561,442/561 = [GCF of 361,442]/[LCM of 561,561]= 1/561
Therefore, the GCF of 361/561,442/561 is 1/561.
To find the highest common factor of 361,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 361 are 1, 19, 361
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 361,442 is 1.
Lets's calculate GCF of 361,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 361
:1,19,361
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 361,442 . The biggest common factor number is the GCF number.
So the greatest common factor 361,442 is 1.
Lets's calculate LCM of 561,561
3 | 561, 561 |
11 | 187, 187 |
17 | 17, 17 |
1, 1 |
∴ So the LCM of the given numbers is 3 x 11 x 17 x 1 x 1 = 561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561
Therefore, the GCF of Fractions 361/561,442/561 is 1/561
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 561,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,561) = 561
common factors(in case of two or more numbers have common factors) = 1
GCF(561,561) x common factors =561 x 1 = 561
LCM(561,561) = ( 561 × 561 ) / 561
LCM(561,561) = 314721 / 561
LCM(561,561) = 561
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 361,442?
The HCF of 361,442 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 361/561, 442/561?
Answer: GCF of Numerators as per given numbers 361/561, 442/561 is
GCF of Numerators i.e. for 361,442 is 1
LCM of denominators i.e. for 561,561 is 561.
Thus, GCF of Fractions is 1/561.Finally, GCF of Fractions for 361/561, 442/561 is 1/561.