GCF of 2443/775, 1982/4484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2443/775, 1982/4484 i.e 1/3475100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2443/775, 1982/4484.
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 2443/775,1982/4484?
Given fractions are 2443/775,1982/4484
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 2443/775,1982/4484, numerators are 2443,1982
Denominators are 775,4484
The GCF of 2443,1982 is 1 .
LCM of 775,4484 is 3475100.
The greatest common factor of 2443/775,1982/4484 = [GCF of 2443,1982]/[LCM of 775,4484]= 1/3475100
Therefore, the GCF of 2443/775,1982/4484 is 1/3475100.
To find the highest common factor of 2443,1982, we have to find the factors of both numbers and list the highest common factor.
The factors of 2443 are 1, 7, 349, 2443
The factors of 1982 are 1, 2, 991, 1982
The HCF of 2443,1982 is 1.
Lets's calculate GCF of 2443,1982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2443,1982 By Matching Biggest Common Factor Method
Now, list down the factors of 2443
:1,7,349,2443
Now, list down the factors of 1982
:1,2,991,1982
Greatest Common Factor
We found the factors 2443,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 2443,1982 is 1.
Lets's calculate LCM of 775,4484
Given numbers has no common factors except 1. So, there LCM is their product i.e 3475100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3475100
Therefore, the GCF of Fractions 2443/775,1982/4484 is 1/3475100
Least Common Multiple of 775,4484 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 775,4484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,4484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,4484) x common factors =1 x 1 = 1
LCM(775,4484) = ( 775 × 4484 ) / 1
LCM(775,4484) = 3475100 / 1
LCM(775,4484) = 3475100
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FAQs on GCF of Fractions of 2443/775, 1982/4484
1. What is the HCF of 2443,1982?
The HCF of 2443,1982 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 2443/775, 1982/4484?
Answer: GCF of Numerators as per given numbers 2443/775, 1982/4484 is
GCF of Numerators i.e. for 2443,1982 is 1
LCM of denominators i.e. for 775,4484 is 3475100.
Thus, GCF of Fractions is 1/3475100.Finally, GCF of Fractions for 2443/775, 1982/4484 is 1/3475100.