Use our free GCF of Fractions Calculator tool to compute the GCF of 1556/500, 1878/9435 i.e 2/943500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1556/500, 1878/9435.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1556/500,1878/9435
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 1556/500,1878/9435, numerators are 1556,1878
Denominators are 500,9435
The GCF of 1556,1878 is 2 .
LCM of 500,9435 is 943500.
The greatest common factor of 1556/500,1878/9435 = [GCF of 1556,1878]/[LCM of 500,9435]= 2/943500
Therefore, the GCF of 1556/500,1878/9435 is 2/943500.
To find the highest common factor of 1556,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 1556 are 1, 2, 4, 389, 778, 1556
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 1556,1878 is 2.
Lets's calculate GCF of 1556,1878
2 | 1556, 1878 |
778, 939 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1556
:1,2,4,389,778,1556
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 1556,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 1556,1878 is 2.
Lets's calculate LCM of 500,9435
5 | 500, 9435 |
100, 1887 |
∴ So the LCM of the given numbers is 5 x 100 x 1887 = 943500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/943500
Therefore, the GCF of Fractions 1556/500,1878/9435 is 2/943500
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 500,9435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,9435) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(500,9435) x common factors =5 x 1 = 5
LCM(500,9435) = ( 500 × 9435 ) / 5
LCM(500,9435) = 4717500 / 5
LCM(500,9435) = 943500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1556,1878?
The HCF of 1556,1878 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 1556/500, 1878/9435?
Answer: GCF of Numerators as per given numbers 1556/500, 1878/9435 is
GCF of Numerators i.e. for 1556,1878 is 2
LCM of denominators i.e. for 500,9435 is 943500.
Thus, GCF of Fractions is 2/943500.Finally, GCF of Fractions for 1556/500, 1878/9435 is 2/943500.