Use our free GCF of Fractions Calculator tool to compute the GCF of 455/970, 611/472 i.e 13/228920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/970, 611/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/970,611/472
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 455/970,611/472, numerators are 455,611
Denominators are 970,472
The GCF of 455,611 is 13 .
LCM of 970,472 is 228920.
The greatest common factor of 455/970,611/472 = [GCF of 455,611]/[LCM of 970,472]= 13/228920
Therefore, the GCF of 455/970,611/472 is 13/228920.
To find the highest common factor of 455,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 611 are 1, 13, 47, 611
The HCF of 455,611 is 13.
Lets's calculate GCF of 455,611
13 | 455, 611 |
35, 47 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 455,611 . The biggest common factor number is the GCF number.
So the greatest common factor 455,611 is 13.
Lets's calculate LCM of 970,472
2 | 970, 472 |
485, 236 |
∴ So the LCM of the given numbers is 2 x 485 x 236 = 228920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/228920
Therefore, the GCF of Fractions 455/970,611/472 is 13/228920
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 970,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,472) x common factors =2 x 1 = 2
LCM(970,472) = ( 970 × 472 ) / 2
LCM(970,472) = 457840 / 2
LCM(970,472) = 228920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 455,611?
The HCF of 455,611 is 13
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 455/970, 611/472?
Answer: GCF of Numerators as per given numbers 455/970, 611/472 is
GCF of Numerators i.e. for 455,611 is 13
LCM of denominators i.e. for 970,472 is 228920.
Thus, GCF of Fractions is 13/228920.Finally, GCF of Fractions for 455/970, 611/472 is 13/228920.