GCF of 2557/307, 2784/1823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2557/307, 2784/1823 i.e 1/559661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2557/307, 2784/1823.
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 2557/307,2784/1823?
Given fractions are 2557/307,2784/1823
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 2557/307,2784/1823, numerators are 2557,2784
Denominators are 307,1823
The GCF of 2557,2784 is 1 .
LCM of 307,1823 is 559661.
The greatest common factor of 2557/307,2784/1823 = [GCF of 2557,2784]/[LCM of 307,1823]= 1/559661
Therefore, the GCF of 2557/307,2784/1823 is 1/559661.
To find the highest common factor of 2557,2784, we have to find the factors of both numbers and list the highest common factor.
The factors of 2557 are 1, 2557
The factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784
The HCF of 2557,2784 is 1.
Lets's calculate GCF of 2557,2784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2557,2784 By Matching Biggest Common Factor Method
Now, list down the factors of 2557
:1,2557
Now, list down the factors of 2784
:1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784
Greatest Common Factor
We found the factors 2557,2784 . The biggest common factor number is the GCF number.
So the greatest common factor 2557,2784 is 1.
Lets's calculate LCM of 307,1823
Given numbers has no common factors except 1. So, there LCM is their product i.e 559661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559661
Therefore, the GCF of Fractions 2557/307,2784/1823 is 1/559661
Least Common Multiple of 307,1823 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 307,1823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,1823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,1823) x common factors =1 x 1 = 1
LCM(307,1823) = ( 307 × 1823 ) / 1
LCM(307,1823) = 559661 / 1
LCM(307,1823) = 559661
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FAQs on GCF of Fractions of 2557/307, 2784/1823
1. What is the HCF of 2557,2784?
The HCF of 2557,2784 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 2557/307, 2784/1823?
Answer: GCF of Numerators as per given numbers 2557/307, 2784/1823 is
GCF of Numerators i.e. for 2557,2784 is 1
LCM of denominators i.e. for 307,1823 is 559661.
Thus, GCF of Fractions is 1/559661.Finally, GCF of Fractions for 2557/307, 2784/1823 is 1/559661.