Use our free GCF of Fractions Calculator tool to compute the GCF of 1068/774, 5524/8537 i.e 4/6607638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1068/774, 5524/8537.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1068/774,5524/8537
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 1068/774,5524/8537, numerators are 1068,5524
Denominators are 774,8537
The GCF of 1068,5524 is 4 .
LCM of 774,8537 is 6607638.
The greatest common factor of 1068/774,5524/8537 = [GCF of 1068,5524]/[LCM of 774,8537]= 4/6607638
Therefore, the GCF of 1068/774,5524/8537 is 4/6607638.
To find the highest common factor of 1068,5524, we have to find the factors of both numbers and list the highest common factor.
The factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068
The factors of 5524 are 1, 2, 4, 1381, 2762, 5524
The HCF of 1068,5524 is 4.
Lets's calculate GCF of 1068,5524
2 | 1068, 5524 |
2 | 534, 2762 |
267, 1381 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 1068
:1,2,3,4,6,12,89,178,267,356,534,1068
Now, list down the factors of 5524
:1,2,4,1381,2762,5524
Greatest Common Factor
We found the factors 1068,5524 . The biggest common factor number is the GCF number.
So the greatest common factor 1068,5524 is 4.
Lets's calculate LCM of 774,8537
Given numbers has no common factors except 1. So, there LCM is their product i.e 6607638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6607638
Therefore, the GCF of Fractions 1068/774,5524/8537 is 4/6607638
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 774,8537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8537) x common factors =1 x 1 = 1
LCM(774,8537) = ( 774 × 8537 ) / 1
LCM(774,8537) = 6607638 / 1
LCM(774,8537) = 6607638
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1068,5524?
The HCF of 1068,5524 is 4
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 1068/774, 5524/8537?
Answer: GCF of Numerators as per given numbers 1068/774, 5524/8537 is
GCF of Numerators i.e. for 1068,5524 is 4
LCM of denominators i.e. for 774,8537 is 6607638.
Thus, GCF of Fractions is 4/6607638.Finally, GCF of Fractions for 1068/774, 5524/8537 is 4/6607638.