GCF of 9020/865, 5825/3471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9020/865, 5825/3471 i.e 5/3002415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9020/865, 5825/3471.
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 9020/865,5825/3471?
Given fractions are 9020/865,5825/3471
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 9020/865,5825/3471, numerators are 9020,5825
Denominators are 865,3471
The GCF of 9020,5825 is 5 .
LCM of 865,3471 is 3002415.
The greatest common factor of 9020/865,5825/3471 = [GCF of 9020,5825]/[LCM of 865,3471]= 5/3002415
Therefore, the GCF of 9020/865,5825/3471 is 5/3002415.
To find the highest common factor of 9020,5825, 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 5825 are 1, 5, 25, 233, 1165, 5825
The HCF of 9020,5825 is 5.
Lets's calculate GCF of 9020,5825
| 5 | 9020, 5825 |
| 1804, 1165 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9020,5825 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 5825
:1,5,25,233,1165,5825
Greatest Common Factor
We found the factors 9020,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,5825 is 5.
Lets's calculate LCM of 865,3471
Given numbers has no common factors except 1. So, there LCM is their product i.e 3002415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3002415
Therefore, the GCF of Fractions 9020/865,5825/3471 is 5/3002415
Least Common Multiple of 865,3471 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 865,3471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,3471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,3471) x common factors =1 x 1 = 1
LCM(865,3471) = ( 865 × 3471 ) / 1
LCM(865,3471) = 3002415 / 1
LCM(865,3471) = 3002415
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FAQs on GCF of Fractions of 9020/865, 5825/3471
1. What is the HCF of 9020,5825?
The HCF of 9020,5825 is 5
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 9020/865, 5825/3471?
Answer: GCF of Numerators as per given numbers 9020/865, 5825/3471 is
GCF of Numerators i.e. for 9020,5825 is 5
LCM of denominators i.e. for 865,3471 is 3002415.
Thus, GCF of Fractions is 5/3002415.Finally, GCF of Fractions for 9020/865, 5825/3471 is 5/3002415.