Use our free GCF of Fractions Calculator tool to compute the GCF of 549/460, 143/932 i.e 1/107180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/460, 143/932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/460,143/932
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 549/460,143/932, numerators are 549,143
Denominators are 460,932
The GCF of 549,143 is 1 .
LCM of 460,932 is 107180.
The greatest common factor of 549/460,143/932 = [GCF of 549,143]/[LCM of 460,932]= 1/107180
Therefore, the GCF of 549/460,143/932 is 1/107180.
To find the highest common factor of 549,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 143 are 1, 11, 13, 143
The HCF of 549,143 is 1.
Lets's calculate GCF of 549,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 549,143 . The biggest common factor number is the GCF number.
So the greatest common factor 549,143 is 1.
Lets's calculate LCM of 460,932
2 | 460, 932 |
2 | 230, 466 |
115, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 233 = 107180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107180
Therefore, the GCF of Fractions 549/460,143/932 is 1/107180
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 460,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,932) x common factors =4 x 1 = 4
LCM(460,932) = ( 460 × 932 ) / 4
LCM(460,932) = 428720 / 4
LCM(460,932) = 107180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 549,143?
The HCF of 549,143 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 549/460, 143/932?
Answer: GCF of Numerators as per given numbers 549/460, 143/932 is
GCF of Numerators i.e. for 549,143 is 1
LCM of denominators i.e. for 460,932 is 107180.
Thus, GCF of Fractions is 1/107180.Finally, GCF of Fractions for 549/460, 143/932 is 1/107180.