GCF of 3023/303, 4640/7269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3023/303, 4640/7269 i.e 1/734169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3023/303, 4640/7269.
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 3023/303,4640/7269?
Given fractions are 3023/303,4640/7269
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 3023/303,4640/7269, numerators are 3023,4640
Denominators are 303,7269
The GCF of 3023,4640 is 1 .
LCM of 303,7269 is 734169.
The greatest common factor of 3023/303,4640/7269 = [GCF of 3023,4640]/[LCM of 303,7269]= 1/734169
Therefore, the GCF of 3023/303,4640/7269 is 1/734169.
To find the highest common factor of 3023,4640, we have to find the factors of both numbers and list the highest common factor.
The factors of 3023 are 1, 3023
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 HCF of 3023,4640 is 1.
Lets's calculate GCF of 3023,4640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3023,4640 By Matching Biggest Common Factor Method
Now, list down the factors of 3023
:1,3023
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
Greatest Common Factor
We found the factors 3023,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 3023,4640 is 1.
Lets's calculate LCM of 303,7269
| 3 | 303, 7269 |
| 101, 2423 |
∴ So the LCM of the given numbers is 3 x 101 x 2423 = 734169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734169
Therefore, the GCF of Fractions 3023/303,4640/7269 is 1/734169
Least Common Multiple of 303,7269 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 303,7269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,7269) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,7269) x common factors =3 x 1 = 3
LCM(303,7269) = ( 303 × 7269 ) / 3
LCM(303,7269) = 2202507 / 3
LCM(303,7269) = 734169
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FAQs on GCF of Fractions of 3023/303, 4640/7269
1. What is the HCF of 3023,4640?
The HCF of 3023,4640 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 3023/303, 4640/7269?
Answer: GCF of Numerators as per given numbers 3023/303, 4640/7269 is
GCF of Numerators i.e. for 3023,4640 is 1
LCM of denominators i.e. for 303,7269 is 734169.
Thus, GCF of Fractions is 1/734169.Finally, GCF of Fractions for 3023/303, 4640/7269 is 1/734169.