Use our free GCF of Fractions Calculator tool to compute the GCF of 1845/531, 1820/3677 i.e 5/1952487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1845/531, 1820/3677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1845/531,1820/3677
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 1845/531,1820/3677, numerators are 1845,1820
Denominators are 531,3677
The GCF of 1845,1820 is 5 .
LCM of 531,3677 is 1952487.
The greatest common factor of 1845/531,1820/3677 = [GCF of 1845,1820]/[LCM of 531,3677]= 5/1952487
Therefore, the GCF of 1845/531,1820/3677 is 5/1952487.
To find the highest common factor of 1845,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 1845,1820 is 5.
Lets's calculate GCF of 1845,1820
5 | 1845, 1820 |
369, 364 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 1845,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,1820 is 5.
Lets's calculate LCM of 531,3677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1952487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1952487
Therefore, the GCF of Fractions 1845/531,1820/3677 is 5/1952487
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 531,3677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,3677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,3677) x common factors =1 x 1 = 1
LCM(531,3677) = ( 531 × 3677 ) / 1
LCM(531,3677) = 1952487 / 1
LCM(531,3677) = 1952487
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1845,1820?
The HCF of 1845,1820 is 5
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 1845/531, 1820/3677?
Answer: GCF of Numerators as per given numbers 1845/531, 1820/3677 is
GCF of Numerators i.e. for 1845,1820 is 5
LCM of denominators i.e. for 531,3677 is 1952487.
Thus, GCF of Fractions is 5/1952487.Finally, GCF of Fractions for 1845/531, 1820/3677 is 5/1952487.