Use our free GCF of Fractions Calculator tool to compute the GCF of 65/70, 897/70, 845/483 i.e 13/4830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/70, 897/70, 845/483.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/70,897/70,845/483
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 65/70,897/70,845/483, numerators are 65,897,845
Denominators are 70,70,483
The GCF of 65,897,845 is 13 .
LCM of 70,70,483 is 4830.
The greatest common factor of 65/70,897/70,845/483 = [GCF of 65,897,845]/[LCM of 70,70,483]= 13/4830
Therefore, the GCF of 65/70,897/70,845/483 is 13/4830.
To find the highest common factor of 65,897,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 65,897,845 is 13.
Lets's calculate GCF of 65,897,845
13 | 65, 897, 845 |
5, 69, 65 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 65,897,845 . The biggest common factor number is the GCF number.
So the greatest common factor 65,897,845 is 13.
Lets's calculate LCM of 70,70,483
2 | 70, 70, 483 |
5 | 35, 35, 483 |
7 | 7, 7, 483 |
1, 1, 69 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 69 = 4830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4830
Therefore, the GCF of Fractions 65/70,897/70,845/483 is 13/4830
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 70,70,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,70,483) = 7
common factors(in case of two or more numbers have common factors) = 70
GCF(70,70,483) x common factors =7 x 70 = 490
LCM(70,70,483) = ( 70 × 70 × 483 ) / 490
LCM(70,70,483) = 2366700 / 490
LCM(70,70,483) = 4830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,897,845?
The HCF of 65,897,845 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 65/70, 897/70, 845/483?
Answer: GCF of Numerators as per given numbers 65/70, 897/70, 845/483 is
GCF of Numerators i.e. for 65,897,845 is 13
LCM of denominators i.e. for 70,70,483 is 4830.
Thus, GCF of Fractions is 13/4830.Finally, GCF of Fractions for 65/70, 897/70, 845/483 is 13/4830.