GCF of 3265/991, 8053/2571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3265/991, 8053/2571 i.e 1/2547861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3265/991, 8053/2571.
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 3265/991,8053/2571?
Given fractions are 3265/991,8053/2571
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 3265/991,8053/2571, numerators are 3265,8053
Denominators are 991,2571
The GCF of 3265,8053 is 1 .
LCM of 991,2571 is 2547861.
The greatest common factor of 3265/991,8053/2571 = [GCF of 3265,8053]/[LCM of 991,2571]= 1/2547861
Therefore, the GCF of 3265/991,8053/2571 is 1/2547861.
To find the highest common factor of 3265,8053, we have to find the factors of both numbers and list the highest common factor.
The factors of 3265 are 1, 5, 653, 3265
The factors of 8053 are 1, 8053
The HCF of 3265,8053 is 1.
Lets's calculate GCF of 3265,8053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3265,8053 By Matching Biggest Common Factor Method
Now, list down the factors of 3265
:1,5,653,3265
Now, list down the factors of 8053
:1,8053
Greatest Common Factor
We found the factors 3265,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 3265,8053 is 1.
Lets's calculate LCM of 991,2571
Given numbers has no common factors except 1. So, there LCM is their product i.e 2547861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2547861
Therefore, the GCF of Fractions 3265/991,8053/2571 is 1/2547861
Least Common Multiple of 991,2571 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 991,2571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,2571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,2571) x common factors =1 x 1 = 1
LCM(991,2571) = ( 991 × 2571 ) / 1
LCM(991,2571) = 2547861 / 1
LCM(991,2571) = 2547861
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FAQs on GCF of Fractions of 3265/991, 8053/2571
1. What is the HCF of 3265,8053?
The HCF of 3265,8053 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 3265/991, 8053/2571?
Answer: GCF of Numerators as per given numbers 3265/991, 8053/2571 is
GCF of Numerators i.e. for 3265,8053 is 1
LCM of denominators i.e. for 991,2571 is 2547861.
Thus, GCF of Fractions is 1/2547861.Finally, GCF of Fractions for 3265/991, 8053/2571 is 1/2547861.