Use our free GCF of Fractions Calculator tool to compute the GCF of 98/65, 169/36, 512/403 i.e 1/72540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/65, 169/36, 512/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/65,169/36,512/403
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 98/65,169/36,512/403, numerators are 98,169,512
Denominators are 65,36,403
The GCF of 98,169,512 is 1 .
LCM of 65,36,403 is 72540.
The greatest common factor of 98/65,169/36,512/403 = [GCF of 98,169,512]/[LCM of 65,36,403]= 1/72540
Therefore, the GCF of 98/65,169/36,512/403 is 1/72540.
To find the highest common factor of 98,169,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 169 are 1, 13, 169
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 98,169,512 is 1.
Lets's calculate GCF of 98,169,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 98,169,512 . The biggest common factor number is the GCF number.
So the greatest common factor 98,169,512 is 1.
Lets's calculate LCM of 65,36,403
13 | 65, 36, 403 |
5, 36, 31 |
∴ So the LCM of the given numbers is 13 x 5 x 36 x 31 = 72540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72540
Therefore, the GCF of Fractions 98/65,169/36,512/403 is 1/72540
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 65,36,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,36,403) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,36,403) x common factors =1 x 13 = 13
LCM(65,36,403) = ( 65 × 36 × 403 ) / 13
LCM(65,36,403) = 943020 / 13
LCM(65,36,403) = 72540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,169,512?
The HCF of 98,169,512 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 98/65, 169/36, 512/403?
Answer: GCF of Numerators as per given numbers 98/65, 169/36, 512/403 is
GCF of Numerators i.e. for 98,169,512 is 1
LCM of denominators i.e. for 65,36,403 is 72540.
Thus, GCF of Fractions is 1/72540.Finally, GCF of Fractions for 98/65, 169/36, 512/403 is 1/72540.