Use our free GCF of Fractions Calculator tool to compute the GCF of 3524/539, 2778/5731 i.e 2/280819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3524/539, 2778/5731.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3524/539,2778/5731
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 3524/539,2778/5731, numerators are 3524,2778
Denominators are 539,5731
The GCF of 3524,2778 is 2 .
LCM of 539,5731 is 280819.
The greatest common factor of 3524/539,2778/5731 = [GCF of 3524,2778]/[LCM of 539,5731]= 2/280819
Therefore, the GCF of 3524/539,2778/5731 is 2/280819.
To find the highest common factor of 3524,2778, we have to find the factors of both numbers and list the highest common factor.
The factors of 3524 are 1, 2, 4, 881, 1762, 3524
The factors of 2778 are 1, 2, 3, 6, 463, 926, 1389, 2778
The HCF of 3524,2778 is 2.
Lets's calculate GCF of 3524,2778
2 | 3524, 2778 |
1762, 1389 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3524
:1,2,4,881,1762,3524
Now, list down the factors of 2778
:1,2,3,6,463,926,1389,2778
Greatest Common Factor
We found the factors 3524,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 3524,2778 is 2.
Lets's calculate LCM of 539,5731
11 | 539, 5731 |
49, 521 |
∴ So the LCM of the given numbers is 11 x 49 x 521 = 280819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/280819
Therefore, the GCF of Fractions 3524/539,2778/5731 is 2/280819
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 539,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5731) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5731) x common factors =11 x 1 = 11
LCM(539,5731) = ( 539 × 5731 ) / 11
LCM(539,5731) = 3089009 / 11
LCM(539,5731) = 280819
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3524,2778?
The HCF of 3524,2778 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 3524/539, 2778/5731?
Answer: GCF of Numerators as per given numbers 3524/539, 2778/5731 is
GCF of Numerators i.e. for 3524,2778 is 2
LCM of denominators i.e. for 539,5731 is 280819.
Thus, GCF of Fractions is 2/280819.Finally, GCF of Fractions for 3524/539, 2778/5731 is 2/280819.