GCF of 3561/810, 8209/1279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3561/810, 8209/1279 i.e 1/1035990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3561/810, 8209/1279.
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 3561/810,8209/1279?
Given fractions are 3561/810,8209/1279
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 3561/810,8209/1279, numerators are 3561,8209
Denominators are 810,1279
The GCF of 3561,8209 is 1 .
LCM of 810,1279 is 1035990.
The greatest common factor of 3561/810,8209/1279 = [GCF of 3561,8209]/[LCM of 810,1279]= 1/1035990
Therefore, the GCF of 3561/810,8209/1279 is 1/1035990.
To find the highest common factor of 3561,8209, we have to find the factors of both numbers and list the highest common factor.
The factors of 3561 are 1, 3, 1187, 3561
The factors of 8209 are 1, 8209
The HCF of 3561,8209 is 1.
Lets's calculate GCF of 3561,8209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3561,8209 By Matching Biggest Common Factor Method
Now, list down the factors of 3561
:1,3,1187,3561
Now, list down the factors of 8209
:1,8209
Greatest Common Factor
We found the factors 3561,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 3561,8209 is 1.
Lets's calculate LCM of 810,1279
Given numbers has no common factors except 1. So, there LCM is their product i.e 1035990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1035990
Therefore, the GCF of Fractions 3561/810,8209/1279 is 1/1035990
Least Common Multiple of 810,1279 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 810,1279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,1279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,1279) x common factors =1 x 1 = 1
LCM(810,1279) = ( 810 × 1279 ) / 1
LCM(810,1279) = 1035990 / 1
LCM(810,1279) = 1035990
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FAQs on GCF of Fractions of 3561/810, 8209/1279
1. What is the HCF of 3561,8209?
The HCF of 3561,8209 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 3561/810, 8209/1279?
Answer: GCF of Numerators as per given numbers 3561/810, 8209/1279 is
GCF of Numerators i.e. for 3561,8209 is 1
LCM of denominators i.e. for 810,1279 is 1035990.
Thus, GCF of Fractions is 1/1035990.Finally, GCF of Fractions for 3561/810, 8209/1279 is 1/1035990.