GCF of 4201/309, 1914/3096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4201/309, 1914/3096 i.e 1/318888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4201/309, 1914/3096.
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 4201/309,1914/3096?
Given fractions are 4201/309,1914/3096
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 4201/309,1914/3096, numerators are 4201,1914
Denominators are 309,3096
The GCF of 4201,1914 is 1 .
LCM of 309,3096 is 318888.
The greatest common factor of 4201/309,1914/3096 = [GCF of 4201,1914]/[LCM of 309,3096]= 1/318888
Therefore, the GCF of 4201/309,1914/3096 is 1/318888.
To find the highest common factor of 4201,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 4201 are 1, 4201
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 4201,1914 is 1.
Lets's calculate GCF of 4201,1914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4201,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 4201
:1,4201
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Greatest Common Factor
We found the factors 4201,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 4201,1914 is 1.
Lets's calculate LCM of 309,3096
| 3 | 309, 3096 |
| 103, 1032 |
∴ So the LCM of the given numbers is 3 x 103 x 1032 = 318888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318888
Therefore, the GCF of Fractions 4201/309,1914/3096 is 1/318888
Least Common Multiple of 309,3096 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 309,3096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,3096) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,3096) x common factors =3 x 1 = 3
LCM(309,3096) = ( 309 × 3096 ) / 3
LCM(309,3096) = 956664 / 3
LCM(309,3096) = 318888
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FAQs on GCF of Fractions of 4201/309, 1914/3096
1. What is the HCF of 4201,1914?
The HCF of 4201,1914 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 4201/309, 1914/3096?
Answer: GCF of Numerators as per given numbers 4201/309, 1914/3096 is
GCF of Numerators i.e. for 4201,1914 is 1
LCM of denominators i.e. for 309,3096 is 318888.
Thus, GCF of Fractions is 1/318888.Finally, GCF of Fractions for 4201/309, 1914/3096 is 1/318888.