GCF of 3695/567, 1812/3877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3695/567, 1812/3877 i.e 1/2198259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3695/567, 1812/3877.
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 3695/567,1812/3877?
Given fractions are 3695/567,1812/3877
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 3695/567,1812/3877, numerators are 3695,1812
Denominators are 567,3877
The GCF of 3695,1812 is 1 .
LCM of 567,3877 is 2198259.
The greatest common factor of 3695/567,1812/3877 = [GCF of 3695,1812]/[LCM of 567,3877]= 1/2198259
Therefore, the GCF of 3695/567,1812/3877 is 1/2198259.
To find the highest common factor of 3695,1812, we have to find the factors of both numbers and list the highest common factor.
The factors of 3695 are 1, 5, 739, 3695
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The HCF of 3695,1812 is 1.
Lets's calculate GCF of 3695,1812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3695,1812 By Matching Biggest Common Factor Method
Now, list down the factors of 3695
:1,5,739,3695
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors 3695,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 3695,1812 is 1.
Lets's calculate LCM of 567,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 2198259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2198259
Therefore, the GCF of Fractions 3695/567,1812/3877 is 1/2198259
Least Common Multiple of 567,3877 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 567,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,3877) x common factors =1 x 1 = 1
LCM(567,3877) = ( 567 × 3877 ) / 1
LCM(567,3877) = 2198259 / 1
LCM(567,3877) = 2198259
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3695/567, 1812/3877
1. What is the HCF of 3695,1812?
The HCF of 3695,1812 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 3695/567, 1812/3877?
Answer: GCF of Numerators as per given numbers 3695/567, 1812/3877 is
GCF of Numerators i.e. for 3695,1812 is 1
LCM of denominators i.e. for 567,3877 is 2198259.
Thus, GCF of Fractions is 1/2198259.Finally, GCF of Fractions for 3695/567, 1812/3877 is 1/2198259.