GCF of 1899/649, 1980/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1899/649, 1980/565 i.e 9/366685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1899/649, 1980/565.
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 1899/649,1980/565?
Given fractions are 1899/649,1980/565
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 1899/649,1980/565, numerators are 1899,1980
Denominators are 649,565
The GCF of 1899,1980 is 9 .
LCM of 649,565 is 366685.
The greatest common factor of 1899/649,1980/565 = [GCF of 1899,1980]/[LCM of 649,565]= 9/366685
Therefore, the GCF of 1899/649,1980/565 is 9/366685.
To find the highest common factor of 1899,1980, we have to find the factors of both numbers and list the highest common factor.
The factors of 1899 are 1, 3, 9, 211, 633, 1899
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 HCF of 1899,1980 is 9.
Lets's calculate GCF of 1899,1980
| 3 | 1899, 1980 |
| 3 | 633, 660 |
| 211, 220 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1899,1980 By Matching Biggest Common Factor Method
Now, list down the factors of 1899
:1,3,9,211,633,1899
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
Greatest Common Factor
We found the factors 1899,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 1899,1980 is 9.
Lets's calculate LCM of 649,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 366685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/366685
Therefore, the GCF of Fractions 1899/649,1980/565 is 9/366685
Least Common Multiple of 649,565 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 649,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,565) x common factors =1 x 1 = 1
LCM(649,565) = ( 649 × 565 ) / 1
LCM(649,565) = 366685 / 1
LCM(649,565) = 366685
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FAQs on GCF of Fractions of 1899/649, 1980/565
1. What is the HCF of 1899,1980?
The HCF of 1899,1980 is 9
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 1899/649, 1980/565?
Answer: GCF of Numerators as per given numbers 1899/649, 1980/565 is
GCF of Numerators i.e. for 1899,1980 is 9
LCM of denominators i.e. for 649,565 is 366685.
Thus, GCF of Fractions is 9/366685.Finally, GCF of Fractions for 1899/649, 1980/565 is 9/366685.