GCF of 1980/195, 5540/6411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1980/195, 5540/6411 i.e 20/416715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1980/195, 5540/6411.
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 1980/195,5540/6411?
Given fractions are 1980/195,5540/6411
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 1980/195,5540/6411, numerators are 1980,5540
Denominators are 195,6411
The GCF of 1980,5540 is 20 .
LCM of 195,6411 is 416715.
The greatest common factor of 1980/195,5540/6411 = [GCF of 1980,5540]/[LCM of 195,6411]= 20/416715
Therefore, the GCF of 1980/195,5540/6411 is 20/416715.
To find the highest common factor of 1980,5540, we have to find the factors of both numbers and list the highest common factor.
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The HCF of 1980,5540 is 20.
Lets's calculate GCF of 1980,5540
| 2 | 1980, 5540 |
| 2 | 990, 2770 |
| 5 | 495, 1385 |
| 99, 277 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1980,5540 By Matching Biggest Common Factor Method
Now, list down the factors of 1980
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 1980,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 1980,5540 is 20.
Lets's calculate LCM of 195,6411
| 3 | 195, 6411 |
| 65, 2137 |
∴ So the LCM of the given numbers is 3 x 65 x 2137 = 416715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/416715
Therefore, the GCF of Fractions 1980/195,5540/6411 is 20/416715
Least Common Multiple of 195,6411 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 195,6411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,6411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,6411) x common factors =3 x 1 = 3
LCM(195,6411) = ( 195 × 6411 ) / 3
LCM(195,6411) = 1250145 / 3
LCM(195,6411) = 416715
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1980/195, 5540/6411
1. What is the HCF of 1980,5540?
The HCF of 1980,5540 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 1980/195, 5540/6411?
Answer: GCF of Numerators as per given numbers 1980/195, 5540/6411 is
GCF of Numerators i.e. for 1980,5540 is 20
LCM of denominators i.e. for 195,6411 is 416715.
Thus, GCF of Fractions is 20/416715.Finally, GCF of Fractions for 1980/195, 5540/6411 is 20/416715.