GCF of 9020/733, 8228/293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9020/733, 8228/293 i.e 44/214769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9020/733, 8228/293.
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 9020/733,8228/293?
Given fractions are 9020/733,8228/293
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 9020/733,8228/293, numerators are 9020,8228
Denominators are 733,293
The GCF of 9020,8228 is 44 .
LCM of 733,293 is 214769.
The greatest common factor of 9020/733,8228/293 = [GCF of 9020,8228]/[LCM of 733,293]= 44/214769
Therefore, the GCF of 9020/733,8228/293 is 44/214769.
To find the highest common factor of 9020,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 9020,8228 is 44.
Lets's calculate GCF of 9020,8228
| 2 | 9020, 8228 |
| 2 | 4510, 4114 |
| 11 | 2255, 2057 |
| 205, 187 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 9020,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 9020
:1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 9020,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,8228 is 44.
Lets's calculate LCM of 733,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 214769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/214769
Therefore, the GCF of Fractions 9020/733,8228/293 is 44/214769
Least Common Multiple of 733,293 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 733,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,293) x common factors =1 x 1 = 1
LCM(733,293) = ( 733 × 293 ) / 1
LCM(733,293) = 214769 / 1
LCM(733,293) = 214769
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FAQs on GCF of Fractions of 9020/733, 8228/293
1. What is the HCF of 9020,8228?
The HCF of 9020,8228 is 44
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 9020/733, 8228/293?
Answer: GCF of Numerators as per given numbers 9020/733, 8228/293 is
GCF of Numerators i.e. for 9020,8228 is 44
LCM of denominators i.e. for 733,293 is 214769.
Thus, GCF of Fractions is 44/214769.Finally, GCF of Fractions for 9020/733, 8228/293 is 44/214769.