GCF of 2194/984, 1923/5739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2194/984, 1923/5739 i.e 1/1882392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2194/984, 1923/5739.
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 2194/984,1923/5739?
Given fractions are 2194/984,1923/5739
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 2194/984,1923/5739, numerators are 2194,1923
Denominators are 984,5739
The GCF of 2194,1923 is 1 .
LCM of 984,5739 is 1882392.
The greatest common factor of 2194/984,1923/5739 = [GCF of 2194,1923]/[LCM of 984,5739]= 1/1882392
Therefore, the GCF of 2194/984,1923/5739 is 1/1882392.
To find the highest common factor of 2194,1923, we have to find the factors of both numbers and list the highest common factor.
The factors of 2194 are 1, 2, 1097, 2194
The factors of 1923 are 1, 3, 641, 1923
The HCF of 2194,1923 is 1.
Lets's calculate GCF of 2194,1923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2194,1923 By Matching Biggest Common Factor Method
Now, list down the factors of 2194
:1,2,1097,2194
Now, list down the factors of 1923
:1,3,641,1923
Greatest Common Factor
We found the factors 2194,1923 . The biggest common factor number is the GCF number.
So the greatest common factor 2194,1923 is 1.
Lets's calculate LCM of 984,5739
| 3 | 984, 5739 |
| 328, 1913 |
∴ So the LCM of the given numbers is 3 x 328 x 1913 = 1882392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1882392
Therefore, the GCF of Fractions 2194/984,1923/5739 is 1/1882392
Least Common Multiple of 984,5739 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 984,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,5739) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,5739) x common factors =3 x 1 = 3
LCM(984,5739) = ( 984 × 5739 ) / 3
LCM(984,5739) = 5647176 / 3
LCM(984,5739) = 1882392
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FAQs on GCF of Fractions of 2194/984, 1923/5739
1. What is the HCF of 2194,1923?
The HCF of 2194,1923 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 2194/984, 1923/5739?
Answer: GCF of Numerators as per given numbers 2194/984, 1923/5739 is
GCF of Numerators i.e. for 2194,1923 is 1
LCM of denominators i.e. for 984,5739 is 1882392.
Thus, GCF of Fractions is 1/1882392.Finally, GCF of Fractions for 2194/984, 1923/5739 is 1/1882392.