GCF of 8280/561, 8801/933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8280/561, 8801/933 i.e 1/174471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8280/561, 8801/933.
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 8280/561,8801/933?
Given fractions are 8280/561,8801/933
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 8280/561,8801/933, numerators are 8280,8801
Denominators are 561,933
The GCF of 8280,8801 is 1 .
LCM of 561,933 is 174471.
The greatest common factor of 8280/561,8801/933 = [GCF of 8280,8801]/[LCM of 561,933]= 1/174471
Therefore, the GCF of 8280/561,8801/933 is 1/174471.
To find the highest common factor of 8280,8801, we have to find the factors of both numbers and list the highest common factor.
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The factors of 8801 are 1, 13, 677, 8801
The HCF of 8280,8801 is 1.
Lets's calculate GCF of 8280,8801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8280,8801 By Matching Biggest Common Factor Method
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Now, list down the factors of 8801
:1,13,677,8801
Greatest Common Factor
We found the factors 8280,8801 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,8801 is 1.
Lets's calculate LCM of 561,933
| 3 | 561, 933 |
| 187, 311 |
∴ So the LCM of the given numbers is 3 x 187 x 311 = 174471
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174471
Therefore, the GCF of Fractions 8280/561,8801/933 is 1/174471
Least Common Multiple of 561,933 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 561,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,933) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,933) x common factors =3 x 1 = 3
LCM(561,933) = ( 561 × 933 ) / 3
LCM(561,933) = 523413 / 3
LCM(561,933) = 174471
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FAQs on GCF of Fractions of 8280/561, 8801/933
1. What is the HCF of 8280,8801?
The HCF of 8280,8801 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 8280/561, 8801/933?
Answer: GCF of Numerators as per given numbers 8280/561, 8801/933 is
GCF of Numerators i.e. for 8280,8801 is 1
LCM of denominators i.e. for 561,933 is 174471.
Thus, GCF of Fractions is 1/174471.Finally, GCF of Fractions for 8280/561, 8801/933 is 1/174471.