GCF of 4640/363, 8040/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4640/363, 8040/274 i.e 40/99462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4640/363, 8040/274.
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 4640/363,8040/274?
Given fractions are 4640/363,8040/274
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 4640/363,8040/274, numerators are 4640,8040
Denominators are 363,274
The GCF of 4640,8040 is 40 .
LCM of 363,274 is 99462.
The greatest common factor of 4640/363,8040/274 = [GCF of 4640,8040]/[LCM of 363,274]= 40/99462
Therefore, the GCF of 4640/363,8040/274 is 40/99462.
To find the highest common factor of 4640,8040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The HCF of 4640,8040 is 40.
Lets's calculate GCF of 4640,8040
| 2 | 4640, 8040 |
| 2 | 2320, 4020 |
| 2 | 1160, 2010 |
| 5 | 580, 1005 |
| 116, 201 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 4640,8040 By Matching Biggest Common Factor Method
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors 4640,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 4640,8040 is 40.
Lets's calculate LCM of 363,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 99462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/99462
Therefore, the GCF of Fractions 4640/363,8040/274 is 40/99462
Least Common Multiple of 363,274 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 363,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,274) x common factors =1 x 1 = 1
LCM(363,274) = ( 363 × 274 ) / 1
LCM(363,274) = 99462 / 1
LCM(363,274) = 99462
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FAQs on GCF of Fractions of 4640/363, 8040/274
1. What is the HCF of 4640,8040?
The HCF of 4640,8040 is 40
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 4640/363, 8040/274?
Answer: GCF of Numerators as per given numbers 4640/363, 8040/274 is
GCF of Numerators i.e. for 4640,8040 is 40
LCM of denominators i.e. for 363,274 is 99462.
Thus, GCF of Fractions is 40/99462.Finally, GCF of Fractions for 4640/363, 8040/274 is 40/99462.