Use our free GCF of Fractions Calculator tool to compute the GCF of 5683/884, 1878/2089 i.e 1/1846676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/884, 1878/2089.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5683/884,1878/2089
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 5683/884,1878/2089, numerators are 5683,1878
Denominators are 884,2089
The GCF of 5683,1878 is 1 .
LCM of 884,2089 is 1846676.
The greatest common factor of 5683/884,1878/2089 = [GCF of 5683,1878]/[LCM of 884,2089]= 1/1846676
Therefore, the GCF of 5683/884,1878/2089 is 1/1846676.
To find the highest common factor of 5683,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 5683 are 1, 5683
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 5683,1878 is 1.
Lets's calculate GCF of 5683,1878
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5683
:1,5683
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 5683,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,1878 is 1.
Lets's calculate LCM of 884,2089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1846676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1846676
Therefore, the GCF of Fractions 5683/884,1878/2089 is 1/1846676
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 884,2089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,2089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,2089) x common factors =1 x 1 = 1
LCM(884,2089) = ( 884 × 2089 ) / 1
LCM(884,2089) = 1846676 / 1
LCM(884,2089) = 1846676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5683,1878?
The HCF of 5683,1878 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 5683/884, 1878/2089?
Answer: GCF of Numerators as per given numbers 5683/884, 1878/2089 is
GCF of Numerators i.e. for 5683,1878 is 1
LCM of denominators i.e. for 884,2089 is 1846676.
Thus, GCF of Fractions is 1/1846676.Finally, GCF of Fractions for 5683/884, 1878/2089 is 1/1846676.