Use our free GCF of Fractions Calculator tool to compute the GCF of 3140/864, 8493/2004 i.e 1/144288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/864, 8493/2004.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3140/864,8493/2004
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 3140/864,8493/2004, numerators are 3140,8493
Denominators are 864,2004
The GCF of 3140,8493 is 1 .
LCM of 864,2004 is 144288.
The greatest common factor of 3140/864,8493/2004 = [GCF of 3140,8493]/[LCM of 864,2004]= 1/144288
Therefore, the GCF of 3140/864,8493/2004 is 1/144288.
To find the highest common factor of 3140,8493, we have to find the factors of both numbers and list the highest common factor.
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The HCF of 3140,8493 is 1.
Lets's calculate GCF of 3140,8493
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Now, list down the factors of 8493
:1,3,19,57,149,447,2831,8493
Greatest Common Factor
We found the factors 3140,8493 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,8493 is 1.
Lets's calculate LCM of 864,2004
2 | 864, 2004 |
2 | 432, 1002 |
3 | 216, 501 |
72, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 72 x 167 = 144288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144288
Therefore, the GCF of Fractions 3140/864,8493/2004 is 1/144288
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 864,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,2004) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(864,2004) x common factors =12 x 1 = 12
LCM(864,2004) = ( 864 × 2004 ) / 12
LCM(864,2004) = 1731456 / 12
LCM(864,2004) = 144288
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3140,8493?
The HCF of 3140,8493 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 3140/864, 8493/2004?
Answer: GCF of Numerators as per given numbers 3140/864, 8493/2004 is
GCF of Numerators i.e. for 3140,8493 is 1
LCM of denominators i.e. for 864,2004 is 144288.
Thus, GCF of Fractions is 1/144288.Finally, GCF of Fractions for 3140/864, 8493/2004 is 1/144288.