GCF of 80/669, 611/180, 999/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/669, 611/180, 999/320 i.e 1/642240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/669, 611/180, 999/320.
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 80/669,611/180,999/320?
Given fractions are 80/669,611/180,999/320
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 80/669,611/180,999/320, numerators are 80,611,999
Denominators are 669,180,320
The GCF of 80,611,999 is 1 .
LCM of 669,180,320 is 642240.
The greatest common factor of 80/669,611/180,999/320 = [GCF of 80,611,999]/[LCM of 669,180,320]= 1/642240
Therefore, the GCF of 80/669,611/180,999/320 is 1/642240.
To find the highest common factor of 80,611,999, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 611 are 1, 13, 47, 611
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999
The HCF of 80,611,999 is 1.
Lets's calculate GCF of 80,611,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,611,999 By Matching Biggest Common Factor Method
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 999
:1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 80,611,999 . The biggest common factor number is the GCF number.
So the greatest common factor 80,611,999 is 1.
Lets's calculate LCM of 669,180,320
| 2 | 669, 180, 320 |
| 2 | 669, 90, 160 |
| 3 | 669, 45, 80 |
| 5 | 223, 15, 80 |
| 223, 3, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 223 x 3 x 16 = 642240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642240
Therefore, the GCF of Fractions 80/669,611/180,999/320 is 1/642240
Least Common Multiple of 669,180,320 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 669,180,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,180,320) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(669,180,320) x common factors =1 x 60 = 60
LCM(669,180,320) = ( 669 × 180 × 320 ) / 60
LCM(669,180,320) = 38534400 / 60
LCM(669,180,320) = 642240
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FAQs on GCF of Fractions of 80/669, 611/180, 999/320
1. What is the HCF of 80,611,999?
The HCF of 80,611,999 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 80/669, 611/180, 999/320?
Answer: GCF of Numerators as per given numbers 80/669, 611/180, 999/320 is
GCF of Numerators i.e. for 80,611,999 is 1
LCM of denominators i.e. for 669,180,320 is 642240.
Thus, GCF of Fractions is 1/642240.Finally, GCF of Fractions for 80/669, 611/180, 999/320 is 1/642240.