GCF of 1921/443, 4381/1598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1921/443, 4381/1598 i.e 1/707914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1921/443, 4381/1598.
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 1921/443,4381/1598?
Given fractions are 1921/443,4381/1598
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 1921/443,4381/1598, numerators are 1921,4381
Denominators are 443,1598
The GCF of 1921,4381 is 1 .
LCM of 443,1598 is 707914.
The greatest common factor of 1921/443,4381/1598 = [GCF of 1921,4381]/[LCM of 443,1598]= 1/707914
Therefore, the GCF of 1921/443,4381/1598 is 1/707914.
To find the highest common factor of 1921,4381, we have to find the factors of both numbers and list the highest common factor.
The factors of 1921 are 1, 17, 113, 1921
The factors of 4381 are 1, 13, 337, 4381
The HCF of 1921,4381 is 1.
Lets's calculate GCF of 1921,4381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1921,4381 By Matching Biggest Common Factor Method
Now, list down the factors of 1921
:1,17,113,1921
Now, list down the factors of 4381
:1,13,337,4381
Greatest Common Factor
We found the factors 1921,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,4381 is 1.
Lets's calculate LCM of 443,1598
Given numbers has no common factors except 1. So, there LCM is their product i.e 707914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707914
Therefore, the GCF of Fractions 1921/443,4381/1598 is 1/707914
Least Common Multiple of 443,1598 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 443,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,1598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,1598) x common factors =1 x 1 = 1
LCM(443,1598) = ( 443 × 1598 ) / 1
LCM(443,1598) = 707914 / 1
LCM(443,1598) = 707914
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FAQs on GCF of Fractions of 1921/443, 4381/1598
1. What is the HCF of 1921,4381?
The HCF of 1921,4381 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 1921/443, 4381/1598?
Answer: GCF of Numerators as per given numbers 1921/443, 4381/1598 is
GCF of Numerators i.e. for 1921,4381 is 1
LCM of denominators i.e. for 443,1598 is 707914.
Thus, GCF of Fractions is 1/707914.Finally, GCF of Fractions for 1921/443, 4381/1598 is 1/707914.