Use our free GCF of Fractions Calculator tool to compute the GCF of 289/484, 544/602 i.e 17/145684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/484, 544/602.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 289/484,544/602
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 289/484,544/602, numerators are 289,544
Denominators are 484,602
The GCF of 289,544 is 17 .
LCM of 484,602 is 145684.
The greatest common factor of 289/484,544/602 = [GCF of 289,544]/[LCM of 484,602]= 17/145684
Therefore, the GCF of 289/484,544/602 is 17/145684.
To find the highest common factor of 289,544, we have to find the factors of both numbers and list the highest common factor.
The factors of 289 are 1, 17, 289
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The HCF of 289,544 is 17.
Lets's calculate GCF of 289,544
17 | 289, 544 |
17, 32 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 289
:1,17,289
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 289,544 . The biggest common factor number is the GCF number.
So the greatest common factor 289,544 is 17.
Lets's calculate LCM of 484,602
2 | 484, 602 |
242, 301 |
∴ So the LCM of the given numbers is 2 x 242 x 301 = 145684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/145684
Therefore, the GCF of Fractions 289/484,544/602 is 17/145684
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 484,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,602) x common factors =2 x 1 = 2
LCM(484,602) = ( 484 × 602 ) / 2
LCM(484,602) = 291368 / 2
LCM(484,602) = 145684
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 289,544?
The HCF of 289,544 is 17
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 289/484, 544/602?
Answer: GCF of Numerators as per given numbers 289/484, 544/602 is
GCF of Numerators i.e. for 289,544 is 17
LCM of denominators i.e. for 484,602 is 145684.
Thus, GCF of Fractions is 17/145684.Finally, GCF of Fractions for 289/484, 544/602 is 17/145684.