GCF of 8271/883, 1980/5033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8271/883, 1980/5033 i.e 9/4444139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8271/883, 1980/5033.
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 8271/883,1980/5033?
Given fractions are 8271/883,1980/5033
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 8271/883,1980/5033, numerators are 8271,1980
Denominators are 883,5033
The GCF of 8271,1980 is 9 .
LCM of 883,5033 is 4444139.
The greatest common factor of 8271/883,1980/5033 = [GCF of 8271,1980]/[LCM of 883,5033]= 9/4444139
Therefore, the GCF of 8271/883,1980/5033 is 9/4444139.
To find the highest common factor of 8271,1980, we have to find the factors of both numbers and list the highest common factor.
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
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 8271,1980 is 9.
Lets's calculate GCF of 8271,1980
| 3 | 8271, 1980 |
| 3 | 2757, 660 |
| 919, 220 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8271,1980 By Matching Biggest Common Factor Method
Now, list down the factors of 8271
:1,3,9,919,2757,8271
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 8271,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 8271,1980 is 9.
Lets's calculate LCM of 883,5033
Given numbers has no common factors except 1. So, there LCM is their product i.e 4444139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4444139
Therefore, the GCF of Fractions 8271/883,1980/5033 is 9/4444139
Least Common Multiple of 883,5033 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 883,5033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,5033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,5033) x common factors =1 x 1 = 1
LCM(883,5033) = ( 883 × 5033 ) / 1
LCM(883,5033) = 4444139 / 1
LCM(883,5033) = 4444139
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FAQs on GCF of Fractions of 8271/883, 1980/5033
1. What is the HCF of 8271,1980?
The HCF of 8271,1980 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 8271/883, 1980/5033?
Answer: GCF of Numerators as per given numbers 8271/883, 1980/5033 is
GCF of Numerators i.e. for 8271,1980 is 9
LCM of denominators i.e. for 883,5033 is 4444139.
Thus, GCF of Fractions is 9/4444139.Finally, GCF of Fractions for 8271/883, 1980/5033 is 9/4444139.