GCF of 1843/194, 1762/4072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1843/194, 1762/4072 i.e 1/394984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1843/194, 1762/4072.
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 1843/194,1762/4072?
Given fractions are 1843/194,1762/4072
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 1843/194,1762/4072, numerators are 1843,1762
Denominators are 194,4072
The GCF of 1843,1762 is 1 .
LCM of 194,4072 is 394984.
The greatest common factor of 1843/194,1762/4072 = [GCF of 1843,1762]/[LCM of 194,4072]= 1/394984
Therefore, the GCF of 1843/194,1762/4072 is 1/394984.
To find the highest common factor of 1843,1762, we have to find the factors of both numbers and list the highest common factor.
The factors of 1843 are 1, 19, 97, 1843
The factors of 1762 are 1, 2, 881, 1762
The HCF of 1843,1762 is 1.
Lets's calculate GCF of 1843,1762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1843,1762 By Matching Biggest Common Factor Method
Now, list down the factors of 1843
:1,19,97,1843
Now, list down the factors of 1762
:1,2,881,1762
Greatest Common Factor
We found the factors 1843,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 1843,1762 is 1.
Lets's calculate LCM of 194,4072
| 2 | 194, 4072 |
| 97, 2036 |
∴ So the LCM of the given numbers is 2 x 97 x 2036 = 394984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394984
Therefore, the GCF of Fractions 1843/194,1762/4072 is 1/394984
Least Common Multiple of 194,4072 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 194,4072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,4072) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,4072) x common factors =2 x 1 = 2
LCM(194,4072) = ( 194 × 4072 ) / 2
LCM(194,4072) = 789968 / 2
LCM(194,4072) = 394984
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FAQs on GCF of Fractions of 1843/194, 1762/4072
1. What is the HCF of 1843,1762?
The HCF of 1843,1762 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 1843/194, 1762/4072?
Answer: GCF of Numerators as per given numbers 1843/194, 1762/4072 is
GCF of Numerators i.e. for 1843,1762 is 1
LCM of denominators i.e. for 194,4072 is 394984.
Thus, GCF of Fractions is 1/394984.Finally, GCF of Fractions for 1843/194, 1762/4072 is 1/394984.