Use our free GCF of Fractions Calculator tool to compute the GCF of 5576/926, 3479/3112 i.e 1/1440856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5576/926, 3479/3112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5576/926,3479/3112
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 5576/926,3479/3112, numerators are 5576,3479
Denominators are 926,3112
The GCF of 5576,3479 is 1 .
LCM of 926,3112 is 1440856.
The greatest common factor of 5576/926,3479/3112 = [GCF of 5576,3479]/[LCM of 926,3112]= 1/1440856
Therefore, the GCF of 5576/926,3479/3112 is 1/1440856.
To find the highest common factor of 5576,3479, we have to find the factors of both numbers and list the highest common factor.
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The HCF of 5576,3479 is 1.
Lets's calculate GCF of 5576,3479
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Now, list down the factors of 3479
:1,7,49,71,497,3479
Greatest Common Factor
We found the factors 5576,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 5576,3479 is 1.
Lets's calculate LCM of 926,3112
2 | 926, 3112 |
463, 1556 |
∴ So the LCM of the given numbers is 2 x 463 x 1556 = 1440856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440856
Therefore, the GCF of Fractions 5576/926,3479/3112 is 1/1440856
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 926,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,3112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,3112) x common factors =2 x 1 = 2
LCM(926,3112) = ( 926 × 3112 ) / 2
LCM(926,3112) = 2881712 / 2
LCM(926,3112) = 1440856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5576,3479?
The HCF of 5576,3479 is 1
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 5576/926, 3479/3112?
Answer: GCF of Numerators as per given numbers 5576/926, 3479/3112 is
GCF of Numerators i.e. for 5576,3479 is 1
LCM of denominators i.e. for 926,3112 is 1440856.
Thus, GCF of Fractions is 1/1440856.Finally, GCF of Fractions for 5576/926, 3479/3112 is 1/1440856.