Use our free GCF of Fractions Calculator tool to compute the GCF of 3213/574, 2860/3877 i.e 1/2225398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/574, 2860/3877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3213/574,2860/3877
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 3213/574,2860/3877, numerators are 3213,2860
Denominators are 574,3877
The GCF of 3213,2860 is 1 .
LCM of 574,3877 is 2225398.
The greatest common factor of 3213/574,2860/3877 = [GCF of 3213,2860]/[LCM of 574,3877]= 1/2225398
Therefore, the GCF of 3213/574,2860/3877 is 1/2225398.
To find the highest common factor of 3213,2860, we have to find the factors of both numbers and list the highest common factor.
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860
The HCF of 3213,2860 is 1.
Lets's calculate GCF of 3213,2860
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Now, list down the factors of 2860
:1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Greatest Common Factor
We found the factors 3213,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,2860 is 1.
Lets's calculate LCM of 574,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 2225398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2225398
Therefore, the GCF of Fractions 3213/574,2860/3877 is 1/2225398
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 574,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,3877) x common factors =1 x 1 = 1
LCM(574,3877) = ( 574 × 3877 ) / 1
LCM(574,3877) = 2225398 / 1
LCM(574,3877) = 2225398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3213,2860?
The HCF of 3213,2860 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 3213/574, 2860/3877?
Answer: GCF of Numerators as per given numbers 3213/574, 2860/3877 is
GCF of Numerators i.e. for 3213,2860 is 1
LCM of denominators i.e. for 574,3877 is 2225398.
Thus, GCF of Fractions is 1/2225398.Finally, GCF of Fractions for 3213/574, 2860/3877 is 1/2225398.