GCF of 8349/883, 7920/9912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8349/883, 7920/9912 i.e 33/8752296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8349/883, 7920/9912.
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 8349/883,7920/9912?
Given fractions are 8349/883,7920/9912
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 8349/883,7920/9912, numerators are 8349,7920
Denominators are 883,9912
The GCF of 8349,7920 is 33 .
LCM of 883,9912 is 8752296.
The greatest common factor of 8349/883,7920/9912 = [GCF of 8349,7920]/[LCM of 883,9912]= 33/8752296
Therefore, the GCF of 8349/883,7920/9912 is 33/8752296.
To find the highest common factor of 8349,7920, we have to find the factors of both numbers and list the highest common factor.
The factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
The HCF of 8349,7920 is 33.
Lets's calculate GCF of 8349,7920
| 3 | 8349, 7920 |
| 11 | 2783, 2640 |
| 253, 240 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8349,7920 By Matching Biggest Common Factor Method
Now, list down the factors of 8349
:1,3,11,23,33,69,121,253,363,759,2783,8349
Now, list down the factors of 7920
:1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Greatest Common Factor
We found the factors 8349,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 8349,7920 is 33.
Lets's calculate LCM of 883,9912
Given numbers has no common factors except 1. So, there LCM is their product i.e 8752296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/8752296
Therefore, the GCF of Fractions 8349/883,7920/9912 is 33/8752296
Least Common Multiple of 883,9912 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 883,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,9912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,9912) x common factors =1 x 1 = 1
LCM(883,9912) = ( 883 × 9912 ) / 1
LCM(883,9912) = 8752296 / 1
LCM(883,9912) = 8752296
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FAQs on GCF of Fractions of 8349/883, 7920/9912
1. What is the HCF of 8349,7920?
The HCF of 8349,7920 is 33
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 8349/883, 7920/9912?
Answer: GCF of Numerators as per given numbers 8349/883, 7920/9912 is
GCF of Numerators i.e. for 8349,7920 is 33
LCM of denominators i.e. for 883,9912 is 8752296.
Thus, GCF of Fractions is 33/8752296.Finally, GCF of Fractions for 8349/883, 7920/9912 is 33/8752296.