GCF of 3041/412, 2204/1928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3041/412, 2204/1928 i.e 1/198584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3041/412, 2204/1928.
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 3041/412,2204/1928?
Given fractions are 3041/412,2204/1928
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 3041/412,2204/1928, numerators are 3041,2204
Denominators are 412,1928
The GCF of 3041,2204 is 1 .
LCM of 412,1928 is 198584.
The greatest common factor of 3041/412,2204/1928 = [GCF of 3041,2204]/[LCM of 412,1928]= 1/198584
Therefore, the GCF of 3041/412,2204/1928 is 1/198584.
To find the highest common factor of 3041,2204, we have to find the factors of both numbers and list the highest common factor.
The factors of 3041 are 1, 3041
The factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204
The HCF of 3041,2204 is 1.
Lets's calculate GCF of 3041,2204
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3041,2204 By Matching Biggest Common Factor Method
Now, list down the factors of 3041
:1,3041
Now, list down the factors of 2204
:1,2,4,19,29,38,58,76,116,551,1102,2204
Greatest Common Factor
We found the factors 3041,2204 . The biggest common factor number is the GCF number.
So the greatest common factor 3041,2204 is 1.
Lets's calculate LCM of 412,1928
| 2 | 412, 1928 |
| 2 | 206, 964 |
| 103, 482 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 482 = 198584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198584
Therefore, the GCF of Fractions 3041/412,2204/1928 is 1/198584
Least Common Multiple of 412,1928 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 412,1928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,1928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,1928) x common factors =4 x 1 = 4
LCM(412,1928) = ( 412 × 1928 ) / 4
LCM(412,1928) = 794336 / 4
LCM(412,1928) = 198584
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FAQs on GCF of Fractions of 3041/412, 2204/1928
1. What is the HCF of 3041,2204?
The HCF of 3041,2204 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 3041/412, 2204/1928?
Answer: GCF of Numerators as per given numbers 3041/412, 2204/1928 is
GCF of Numerators i.e. for 3041,2204 is 1
LCM of denominators i.e. for 412,1928 is 198584.
Thus, GCF of Fractions is 1/198584.Finally, GCF of Fractions for 3041/412, 2204/1928 is 1/198584.