Use our free GCF of Fractions Calculator tool to compute the GCF of 5542/129, 7312/2584 i.e 2/333336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5542/129, 7312/2584.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5542/129,7312/2584
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 5542/129,7312/2584, numerators are 5542,7312
Denominators are 129,2584
The GCF of 5542,7312 is 2 .
LCM of 129,2584 is 333336.
The greatest common factor of 5542/129,7312/2584 = [GCF of 5542,7312]/[LCM of 129,2584]= 2/333336
Therefore, the GCF of 5542/129,7312/2584 is 2/333336.
To find the highest common factor of 5542,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 5542,7312 is 2.
Lets's calculate GCF of 5542,7312
2 | 5542, 7312 |
2771, 3656 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5542
:1,2,17,34,163,326,2771,5542
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 5542,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 5542,7312 is 2.
Lets's calculate LCM of 129,2584
Given numbers has no common factors except 1. So, there LCM is their product i.e 333336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/333336
Therefore, the GCF of Fractions 5542/129,7312/2584 is 2/333336
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 129,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,2584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,2584) x common factors =1 x 1 = 1
LCM(129,2584) = ( 129 × 2584 ) / 1
LCM(129,2584) = 333336 / 1
LCM(129,2584) = 333336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5542,7312?
The HCF of 5542,7312 is 2
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 5542/129, 7312/2584?
Answer: GCF of Numerators as per given numbers 5542/129, 7312/2584 is
GCF of Numerators i.e. for 5542,7312 is 2
LCM of denominators i.e. for 129,2584 is 333336.
Thus, GCF of Fractions is 2/333336.Finally, GCF of Fractions for 5542/129, 7312/2584 is 2/333336.