GCF of 3163/394, 1914/3608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3163/394, 1914/3608 i.e 1/710776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3163/394, 1914/3608.
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 3163/394,1914/3608?
Given fractions are 3163/394,1914/3608
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 3163/394,1914/3608, numerators are 3163,1914
Denominators are 394,3608
The GCF of 3163,1914 is 1 .
LCM of 394,3608 is 710776.
The greatest common factor of 3163/394,1914/3608 = [GCF of 3163,1914]/[LCM of 394,3608]= 1/710776
Therefore, the GCF of 3163/394,1914/3608 is 1/710776.
To find the highest common factor of 3163,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 3163 are 1, 3163
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 3163,1914 is 1.
Lets's calculate GCF of 3163,1914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3163,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 3163
:1,3163
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 3163,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 3163,1914 is 1.
Lets's calculate LCM of 394,3608
| 2 | 394, 3608 |
| 197, 1804 |
∴ So the LCM of the given numbers is 2 x 197 x 1804 = 710776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710776
Therefore, the GCF of Fractions 3163/394,1914/3608 is 1/710776
Least Common Multiple of 394,3608 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 394,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,3608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,3608) x common factors =2 x 1 = 2
LCM(394,3608) = ( 394 × 3608 ) / 2
LCM(394,3608) = 1421552 / 2
LCM(394,3608) = 710776
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FAQs on GCF of Fractions of 3163/394, 1914/3608
1. What is the HCF of 3163,1914?
The HCF of 3163,1914 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 3163/394, 1914/3608?
Answer: GCF of Numerators as per given numbers 3163/394, 1914/3608 is
GCF of Numerators i.e. for 3163,1914 is 1
LCM of denominators i.e. for 394,3608 is 710776.
Thus, GCF of Fractions is 1/710776.Finally, GCF of Fractions for 3163/394, 1914/3608 is 1/710776.