Use our free GCF of Fractions Calculator tool to compute the GCF of 3190/657, 6540/7581 i.e 10/1660239 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3190/657, 6540/7581.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3190/657,6540/7581
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 3190/657,6540/7581, numerators are 3190,6540
Denominators are 657,7581
The GCF of 3190,6540 is 10 .
LCM of 657,7581 is 1660239.
The greatest common factor of 3190/657,6540/7581 = [GCF of 3190,6540]/[LCM of 657,7581]= 10/1660239
Therefore, the GCF of 3190/657,6540/7581 is 10/1660239.
To find the highest common factor of 3190,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 3190,6540 is 10.
Lets's calculate GCF of 3190,6540
2 | 3190, 6540 |
5 | 1595, 3270 |
319, 654 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 3190
:1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 3190,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 3190,6540 is 10.
Lets's calculate LCM of 657,7581
3 | 657, 7581 |
219, 2527 |
∴ So the LCM of the given numbers is 3 x 219 x 2527 = 1660239
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1660239
Therefore, the GCF of Fractions 3190/657,6540/7581 is 10/1660239
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 657,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,7581) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,7581) x common factors =3 x 1 = 3
LCM(657,7581) = ( 657 × 7581 ) / 3
LCM(657,7581) = 4980717 / 3
LCM(657,7581) = 1660239
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3190,6540?
The HCF of 3190,6540 is 10
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 3190/657, 6540/7581?
Answer: GCF of Numerators as per given numbers 3190/657, 6540/7581 is
GCF of Numerators i.e. for 3190,6540 is 10
LCM of denominators i.e. for 657,7581 is 1660239.
Thus, GCF of Fractions is 10/1660239.Finally, GCF of Fractions for 3190/657, 6540/7581 is 10/1660239.