GCF of 6540/564, 5200/2390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6540/564, 5200/2390 i.e 20/673980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6540/564, 5200/2390.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6540/564,5200/2390?
Given fractions are 6540/564,5200/2390
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 6540/564,5200/2390, numerators are 6540,5200
Denominators are 564,2390
The GCF of 6540,5200 is 20 .
LCM of 564,2390 is 673980.
The greatest common factor of 6540/564,5200/2390 = [GCF of 6540,5200]/[LCM of 564,2390]= 20/673980
Therefore, the GCF of 6540/564,5200/2390 is 20/673980.
To find the highest common factor of 6540,5200, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 6540,5200 is 20.
Lets's calculate GCF of 6540,5200
| 2 | 6540, 5200 |
| 2 | 3270, 2600 |
| 5 | 1635, 1300 |
| 327, 260 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 6540,5200 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 6540,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 6540,5200 is 20.
Lets's calculate LCM of 564,2390
| 2 | 564, 2390 |
| 282, 1195 |
∴ So the LCM of the given numbers is 2 x 282 x 1195 = 673980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/673980
Therefore, the GCF of Fractions 6540/564,5200/2390 is 20/673980
Least Common Multiple of 564,2390 with GCF Formula
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 564,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2390) x common factors =2 x 1 = 2
LCM(564,2390) = ( 564 × 2390 ) / 2
LCM(564,2390) = 1347960 / 2
LCM(564,2390) = 673980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6540/564, 5200/2390
1. What is the HCF of 6540,5200?
The HCF of 6540,5200 is 20
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 6540/564, 5200/2390?
Answer: GCF of Numerators as per given numbers 6540/564, 5200/2390 is
GCF of Numerators i.e. for 6540,5200 is 20
LCM of denominators i.e. for 564,2390 is 673980.
Thus, GCF of Fractions is 20/673980.Finally, GCF of Fractions for 6540/564, 5200/2390 is 20/673980.