GCF of 2868/149, 4057/1796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2868/149, 4057/1796 i.e 1/267604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2868/149, 4057/1796.
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 2868/149,4057/1796?
Given fractions are 2868/149,4057/1796
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 2868/149,4057/1796, numerators are 2868,4057
Denominators are 149,1796
The GCF of 2868,4057 is 1 .
LCM of 149,1796 is 267604.
The greatest common factor of 2868/149,4057/1796 = [GCF of 2868,4057]/[LCM of 149,1796]= 1/267604
Therefore, the GCF of 2868/149,4057/1796 is 1/267604.
To find the highest common factor of 2868,4057, we have to find the factors of both numbers and list the highest common factor.
The factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868
The factors of 4057 are 1, 4057
The HCF of 2868,4057 is 1.
Lets's calculate GCF of 2868,4057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2868,4057 By Matching Biggest Common Factor Method
Now, list down the factors of 2868
:1,2,3,4,6,12,239,478,717,956,1434,2868
Now, list down the factors of 4057
:1,4057
Greatest Common Factor
We found the factors 2868,4057 . The biggest common factor number is the GCF number.
So the greatest common factor 2868,4057 is 1.
Lets's calculate LCM of 149,1796
Given numbers has no common factors except 1. So, there LCM is their product i.e 267604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267604
Therefore, the GCF of Fractions 2868/149,4057/1796 is 1/267604
Least Common Multiple of 149,1796 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 149,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,1796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,1796) x common factors =1 x 1 = 1
LCM(149,1796) = ( 149 × 1796 ) / 1
LCM(149,1796) = 267604 / 1
LCM(149,1796) = 267604
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FAQs on GCF of Fractions of 2868/149, 4057/1796
1. What is the HCF of 2868,4057?
The HCF of 2868,4057 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 2868/149, 4057/1796?
Answer: GCF of Numerators as per given numbers 2868/149, 4057/1796 is
GCF of Numerators i.e. for 2868,4057 is 1
LCM of denominators i.e. for 149,1796 is 267604.
Thus, GCF of Fractions is 1/267604.Finally, GCF of Fractions for 2868/149, 4057/1796 is 1/267604.