Use our free GCF of Fractions Calculator tool to compute the GCF of 520/439, 871/962 i.e 13/422318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/439, 871/962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/439,871/962
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 520/439,871/962, numerators are 520,871
Denominators are 439,962
The GCF of 520,871 is 13 .
LCM of 439,962 is 422318.
The greatest common factor of 520/439,871/962 = [GCF of 520,871]/[LCM of 439,962]= 13/422318
Therefore, the GCF of 520/439,871/962 is 13/422318.
To find the highest common factor of 520,871, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 871 are 1, 13, 67, 871
The HCF of 520,871 is 13.
Lets's calculate GCF of 520,871
13 | 520, 871 |
40, 67 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 871
:1,13,67,871
Greatest Common Factor
We found the factors 520,871 . The biggest common factor number is the GCF number.
So the greatest common factor 520,871 is 13.
Lets's calculate LCM of 439,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 422318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/422318
Therefore, the GCF of Fractions 520/439,871/962 is 13/422318
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 439,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,962) x common factors =1 x 1 = 1
LCM(439,962) = ( 439 × 962 ) / 1
LCM(439,962) = 422318 / 1
LCM(439,962) = 422318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 520,871?
The HCF of 520,871 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 520/439, 871/962?
Answer: GCF of Numerators as per given numbers 520/439, 871/962 is
GCF of Numerators i.e. for 520,871 is 13
LCM of denominators i.e. for 439,962 is 422318.
Thus, GCF of Fractions is 13/422318.Finally, GCF of Fractions for 520/439, 871/962 is 13/422318.