GCF of 3049/223, 4440/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3049/223, 4440/309 i.e 1/68907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3049/223, 4440/309.
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 3049/223,4440/309?
Given fractions are 3049/223,4440/309
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 3049/223,4440/309, numerators are 3049,4440
Denominators are 223,309
The GCF of 3049,4440 is 1 .
LCM of 223,309 is 68907.
The greatest common factor of 3049/223,4440/309 = [GCF of 3049,4440]/[LCM of 223,309]= 1/68907
Therefore, the GCF of 3049/223,4440/309 is 1/68907.
To find the highest common factor of 3049,4440, we have to find the factors of both numbers and list the highest common factor.
The factors of 3049 are 1, 3049
The factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440
The HCF of 3049,4440 is 1.
Lets's calculate GCF of 3049,4440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3049,4440 By Matching Biggest Common Factor Method
Now, list down the factors of 3049
:1,3049
Now, list down the factors of 4440
:1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440
Greatest Common Factor
We found the factors 3049,4440 . The biggest common factor number is the GCF number.
So the greatest common factor 3049,4440 is 1.
Lets's calculate LCM of 223,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 68907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68907
Therefore, the GCF of Fractions 3049/223,4440/309 is 1/68907
Least Common Multiple of 223,309 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 223,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,309) x common factors =1 x 1 = 1
LCM(223,309) = ( 223 × 309 ) / 1
LCM(223,309) = 68907 / 1
LCM(223,309) = 68907
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FAQs on GCF of Fractions of 3049/223, 4440/309
1. What is the HCF of 3049,4440?
The HCF of 3049,4440 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 3049/223, 4440/309?
Answer: GCF of Numerators as per given numbers 3049/223, 4440/309 is
GCF of Numerators i.e. for 3049,4440 is 1
LCM of denominators i.e. for 223,309 is 68907.
Thus, GCF of Fractions is 1/68907.Finally, GCF of Fractions for 3049/223, 4440/309 is 1/68907.