GCF of 1806/657, 6677/3514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1806/657, 6677/3514 i.e 1/2308698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1806/657, 6677/3514.
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 1806/657,6677/3514?
Given fractions are 1806/657,6677/3514
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 1806/657,6677/3514, numerators are 1806,6677
Denominators are 657,3514
The GCF of 1806,6677 is 1 .
LCM of 657,3514 is 2308698.
The greatest common factor of 1806/657,6677/3514 = [GCF of 1806,6677]/[LCM of 657,3514]= 1/2308698
Therefore, the GCF of 1806/657,6677/3514 is 1/2308698.
To find the highest common factor of 1806,6677, we have to find the factors of both numbers and list the highest common factor.
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The factors of 6677 are 1, 11, 607, 6677
The HCF of 1806,6677 is 1.
Lets's calculate GCF of 1806,6677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1806,6677 By Matching Biggest Common Factor Method
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Now, list down the factors of 6677
:1,11,607,6677
Greatest Common Factor
We found the factors 1806,6677 . The biggest common factor number is the GCF number.
So the greatest common factor 1806,6677 is 1.
Lets's calculate LCM of 657,3514
Given numbers has no common factors except 1. So, there LCM is their product i.e 2308698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2308698
Therefore, the GCF of Fractions 1806/657,6677/3514 is 1/2308698
Least Common Multiple of 657,3514 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 657,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,3514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,3514) x common factors =1 x 1 = 1
LCM(657,3514) = ( 657 × 3514 ) / 1
LCM(657,3514) = 2308698 / 1
LCM(657,3514) = 2308698
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FAQs on GCF of Fractions of 1806/657, 6677/3514
1. What is the HCF of 1806,6677?
The HCF of 1806,6677 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 1806/657, 6677/3514?
Answer: GCF of Numerators as per given numbers 1806/657, 6677/3514 is
GCF of Numerators i.e. for 1806,6677 is 1
LCM of denominators i.e. for 657,3514 is 2308698.
Thus, GCF of Fractions is 1/2308698.Finally, GCF of Fractions for 1806/657, 6677/3514 is 1/2308698.