Use our free GCF of Fractions Calculator tool to compute the GCF of 28/45, 637/99, 549/359 i.e 1/177705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/45, 637/99, 549/359.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/45,637/99,549/359
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 28/45,637/99,549/359, numerators are 28,637,549
Denominators are 45,99,359
The GCF of 28,637,549 is 1 .
LCM of 45,99,359 is 177705.
The greatest common factor of 28/45,637/99,549/359 = [GCF of 28,637,549]/[LCM of 45,99,359]= 1/177705
Therefore, the GCF of 28/45,637/99,549/359 is 1/177705.
To find the highest common factor of 28,637,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 28,637,549 is 1.
Lets's calculate GCF of 28,637,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 28,637,549 . The biggest common factor number is the GCF number.
So the greatest common factor 28,637,549 is 1.
Lets's calculate LCM of 45,99,359
3 | 45, 99, 359 |
3 | 15, 33, 359 |
5, 11, 359 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 359 = 177705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177705
Therefore, the GCF of Fractions 28/45,637/99,549/359 is 1/177705
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 45,99,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,99,359) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(45,99,359) x common factors =1 x 9 = 9
LCM(45,99,359) = ( 45 × 99 × 359 ) / 9
LCM(45,99,359) = 1599345 / 9
LCM(45,99,359) = 177705
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,637,549?
The HCF of 28,637,549 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 28/45, 637/99, 549/359?
Answer: GCF of Numerators as per given numbers 28/45, 637/99, 549/359 is
GCF of Numerators i.e. for 28,637,549 is 1
LCM of denominators i.e. for 45,99,359 is 177705.
Thus, GCF of Fractions is 1/177705.Finally, GCF of Fractions for 28/45, 637/99, 549/359 is 1/177705.