GCF of 2455/768, 4057/2053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2455/768, 4057/2053 i.e 1/1576704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2455/768, 4057/2053.
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 2455/768,4057/2053?
Given fractions are 2455/768,4057/2053
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 2455/768,4057/2053, numerators are 2455,4057
Denominators are 768,2053
The GCF of 2455,4057 is 1 .
LCM of 768,2053 is 1576704.
The greatest common factor of 2455/768,4057/2053 = [GCF of 2455,4057]/[LCM of 768,2053]= 1/1576704
Therefore, the GCF of 2455/768,4057/2053 is 1/1576704.
To find the highest common factor of 2455,4057, we have to find the factors of both numbers and list the highest common factor.
The factors of 2455 are 1, 5, 491, 2455
The factors of 4057 are 1, 4057
The HCF of 2455,4057 is 1.
Lets's calculate GCF of 2455,4057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2455,4057 By Matching Biggest Common Factor Method
Now, list down the factors of 2455
:1,5,491,2455
Now, list down the factors of 4057
:1,4057
Greatest Common Factor
We found the factors 2455,4057 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,4057 is 1.
Lets's calculate LCM of 768,2053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1576704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1576704
Therefore, the GCF of Fractions 2455/768,4057/2053 is 1/1576704
Least Common Multiple of 768,2053 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 768,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2053) x common factors =1 x 1 = 1
LCM(768,2053) = ( 768 × 2053 ) / 1
LCM(768,2053) = 1576704 / 1
LCM(768,2053) = 1576704
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2455/768, 4057/2053
1. What is the HCF of 2455,4057?
The HCF of 2455,4057 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 2455/768, 4057/2053?
Answer: GCF of Numerators as per given numbers 2455/768, 4057/2053 is
GCF of Numerators i.e. for 2455,4057 is 1
LCM of denominators i.e. for 768,2053 is 1576704.
Thus, GCF of Fractions is 1/1576704.Finally, GCF of Fractions for 2455/768, 4057/2053 is 1/1576704.