Use our free GCF of Fractions Calculator tool to compute the GCF of 459/971, 975/847 i.e 3/822437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 459/971, 975/847.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 459/971,975/847
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 459/971,975/847, numerators are 459,975
Denominators are 971,847
The GCF of 459,975 is 3 .
LCM of 971,847 is 822437.
The greatest common factor of 459/971,975/847 = [GCF of 459,975]/[LCM of 971,847]= 3/822437
Therefore, the GCF of 459/971,975/847 is 3/822437.
To find the highest common factor of 459,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 459,975 is 3.
Lets's calculate GCF of 459,975
3 | 459, 975 |
153, 325 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 459,975 . The biggest common factor number is the GCF number.
So the greatest common factor 459,975 is 3.
Lets's calculate LCM of 971,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 822437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/822437
Therefore, the GCF of Fractions 459/971,975/847 is 3/822437
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 971,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,847) x common factors =1 x 1 = 1
LCM(971,847) = ( 971 × 847 ) / 1
LCM(971,847) = 822437 / 1
LCM(971,847) = 822437
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 459,975?
The HCF of 459,975 is 3
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 459/971, 975/847?
Answer: GCF of Numerators as per given numbers 459/971, 975/847 is
GCF of Numerators i.e. for 459,975 is 3
LCM of denominators i.e. for 971,847 is 822437.
Thus, GCF of Fractions is 3/822437.Finally, GCF of Fractions for 459/971, 975/847 is 3/822437.