GCF of 3213/109, 3889/8999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3213/109, 3889/8999 i.e 1/980891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/109, 3889/8999.
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 3213/109,3889/8999?
Given fractions are 3213/109,3889/8999
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 3213/109,3889/8999, numerators are 3213,3889
Denominators are 109,8999
The GCF of 3213,3889 is 1 .
LCM of 109,8999 is 980891.
The greatest common factor of 3213/109,3889/8999 = [GCF of 3213,3889]/[LCM of 109,8999]= 1/980891
Therefore, the GCF of 3213/109,3889/8999 is 1/980891.
To find the highest common factor of 3213,3889, we have to find the factors of both numbers and list the highest common factor.
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The factors of 3889 are 1, 3889
The HCF of 3213,3889 is 1.
Lets's calculate GCF of 3213,3889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3213,3889 By Matching Biggest Common Factor Method
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Now, list down the factors of 3889
:1,3889
Greatest Common Factor
We found the factors 3213,3889 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,3889 is 1.
Lets's calculate LCM of 109,8999
Given numbers has no common factors except 1. So, there LCM is their product i.e 980891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/980891
Therefore, the GCF of Fractions 3213/109,3889/8999 is 1/980891
Least Common Multiple of 109,8999 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 109,8999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,8999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,8999) x common factors =1 x 1 = 1
LCM(109,8999) = ( 109 × 8999 ) / 1
LCM(109,8999) = 980891 / 1
LCM(109,8999) = 980891
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FAQs on GCF of Fractions of 3213/109, 3889/8999
1. What is the HCF of 3213,3889?
The HCF of 3213,3889 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 3213/109, 3889/8999?
Answer: GCF of Numerators as per given numbers 3213/109, 3889/8999 is
GCF of Numerators i.e. for 3213,3889 is 1
LCM of denominators i.e. for 109,8999 is 980891.
Thus, GCF of Fractions is 1/980891.Finally, GCF of Fractions for 3213/109, 3889/8999 is 1/980891.