GCF of 3026/306, 4083/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3026/306, 4083/909 i.e 1/30906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3026/306, 4083/909.
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 3026/306,4083/909?
Given fractions are 3026/306,4083/909
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 3026/306,4083/909, numerators are 3026,4083
Denominators are 306,909
The GCF of 3026,4083 is 1 .
LCM of 306,909 is 30906.
The greatest common factor of 3026/306,4083/909 = [GCF of 3026,4083]/[LCM of 306,909]= 1/30906
Therefore, the GCF of 3026/306,4083/909 is 1/30906.
To find the highest common factor of 3026,4083, we have to find the factors of both numbers and list the highest common factor.
The factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026
The factors of 4083 are 1, 3, 1361, 4083
The HCF of 3026,4083 is 1.
Lets's calculate GCF of 3026,4083
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3026,4083 By Matching Biggest Common Factor Method
Now, list down the factors of 3026
:1,2,17,34,89,178,1513,3026
Now, list down the factors of 4083
:1,3,1361,4083
Greatest Common Factor
We found the factors 3026,4083 . The biggest common factor number is the GCF number.
So the greatest common factor 3026,4083 is 1.
Lets's calculate LCM of 306,909
| 3 | 306, 909 |
| 3 | 102, 303 |
| 34, 101 |
∴ So the LCM of the given numbers is 3 x 3 x 34 x 101 = 30906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30906
Therefore, the GCF of Fractions 3026/306,4083/909 is 1/30906
Least Common Multiple of 306,909 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 306,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,909) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(306,909) x common factors =9 x 1 = 9
LCM(306,909) = ( 306 × 909 ) / 9
LCM(306,909) = 278154 / 9
LCM(306,909) = 30906
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FAQs on GCF of Fractions of 3026/306, 4083/909
1. What is the HCF of 3026,4083?
The HCF of 3026,4083 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 3026/306, 4083/909?
Answer: GCF of Numerators as per given numbers 3026/306, 4083/909 is
GCF of Numerators i.e. for 3026,4083 is 1
LCM of denominators i.e. for 306,909 is 30906.
Thus, GCF of Fractions is 1/30906.Finally, GCF of Fractions for 3026/306, 4083/909 is 1/30906.