GCF of 1906/476, 6634/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1906/476, 6634/323 i.e 2/9044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1906/476, 6634/323.
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 1906/476,6634/323?
Given fractions are 1906/476,6634/323
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 1906/476,6634/323, numerators are 1906,6634
Denominators are 476,323
The GCF of 1906,6634 is 2 .
LCM of 476,323 is 9044.
The greatest common factor of 1906/476,6634/323 = [GCF of 1906,6634]/[LCM of 476,323]= 2/9044
Therefore, the GCF of 1906/476,6634/323 is 2/9044.
To find the highest common factor of 1906,6634, we have to find the factors of both numbers and list the highest common factor.
The factors of 1906 are 1, 2, 953, 1906
The factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634
The HCF of 1906,6634 is 2.
Lets's calculate GCF of 1906,6634
| 2 | 1906, 6634 |
| 953, 3317 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1906,6634 By Matching Biggest Common Factor Method
Now, list down the factors of 1906
:1,2,953,1906
Now, list down the factors of 6634
:1,2,31,62,107,214,3317,6634
Greatest Common Factor
We found the factors 1906,6634 . The biggest common factor number is the GCF number.
So the greatest common factor 1906,6634 is 2.
Lets's calculate LCM of 476,323
| 17 | 476, 323 |
| 28, 19 |
∴ So the LCM of the given numbers is 17 x 28 x 19 = 9044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9044
Therefore, the GCF of Fractions 1906/476,6634/323 is 2/9044
Least Common Multiple of 476,323 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 476,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,323) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(476,323) x common factors =17 x 1 = 17
LCM(476,323) = ( 476 × 323 ) / 17
LCM(476,323) = 153748 / 17
LCM(476,323) = 9044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1906/476, 6634/323
1. What is the HCF of 1906,6634?
The HCF of 1906,6634 is 2
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 1906/476, 6634/323?
Answer: GCF of Numerators as per given numbers 1906/476, 6634/323 is
GCF of Numerators i.e. for 1906,6634 is 2
LCM of denominators i.e. for 476,323 is 9044.
Thus, GCF of Fractions is 2/9044.Finally, GCF of Fractions for 1906/476, 6634/323 is 2/9044.