GCF of 2279/723, 3692/4085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2279/723, 3692/4085 i.e 1/2953455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2279/723, 3692/4085.
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 2279/723,3692/4085?
Given fractions are 2279/723,3692/4085
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 2279/723,3692/4085, numerators are 2279,3692
Denominators are 723,4085
The GCF of 2279,3692 is 1 .
LCM of 723,4085 is 2953455.
The greatest common factor of 2279/723,3692/4085 = [GCF of 2279,3692]/[LCM of 723,4085]= 1/2953455
Therefore, the GCF of 2279/723,3692/4085 is 1/2953455.
To find the highest common factor of 2279,3692, we have to find the factors of both numbers and list the highest common factor.
The factors of 2279 are 1, 43, 53, 2279
The factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
The HCF of 2279,3692 is 1.
Lets's calculate GCF of 2279,3692
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2279,3692 By Matching Biggest Common Factor Method
Now, list down the factors of 2279
:1,43,53,2279
Now, list down the factors of 3692
:1,2,4,13,26,52,71,142,284,923,1846,3692
Greatest Common Factor
We found the factors 2279,3692 . The biggest common factor number is the GCF number.
So the greatest common factor 2279,3692 is 1.
Lets's calculate LCM of 723,4085
Given numbers has no common factors except 1. So, there LCM is their product i.e 2953455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2953455
Therefore, the GCF of Fractions 2279/723,3692/4085 is 1/2953455
Least Common Multiple of 723,4085 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 723,4085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,4085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,4085) x common factors =1 x 1 = 1
LCM(723,4085) = ( 723 × 4085 ) / 1
LCM(723,4085) = 2953455 / 1
LCM(723,4085) = 2953455
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FAQs on GCF of Fractions of 2279/723, 3692/4085
1. What is the HCF of 2279,3692?
The HCF of 2279,3692 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 2279/723, 3692/4085?
Answer: GCF of Numerators as per given numbers 2279/723, 3692/4085 is
GCF of Numerators i.e. for 2279,3692 is 1
LCM of denominators i.e. for 723,4085 is 2953455.
Thus, GCF of Fractions is 1/2953455.Finally, GCF of Fractions for 2279/723, 3692/4085 is 1/2953455.