GCF of 3032/965, 8325/6549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3032/965, 8325/6549 i.e 1/6319785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3032/965, 8325/6549.
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 3032/965,8325/6549?
Given fractions are 3032/965,8325/6549
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 3032/965,8325/6549, numerators are 3032,8325
Denominators are 965,6549
The GCF of 3032,8325 is 1 .
LCM of 965,6549 is 6319785.
The greatest common factor of 3032/965,8325/6549 = [GCF of 3032,8325]/[LCM of 965,6549]= 1/6319785
Therefore, the GCF of 3032/965,8325/6549 is 1/6319785.
To find the highest common factor of 3032,8325, we have to find the factors of both numbers and list the highest common factor.
The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032
The factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325
The HCF of 3032,8325 is 1.
Lets's calculate GCF of 3032,8325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3032,8325 By Matching Biggest Common Factor Method
Now, list down the factors of 3032
:1,2,4,8,379,758,1516,3032
Now, list down the factors of 8325
:1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
Greatest Common Factor
We found the factors 3032,8325 . The biggest common factor number is the GCF number.
So the greatest common factor 3032,8325 is 1.
Lets's calculate LCM of 965,6549
Given numbers has no common factors except 1. So, there LCM is their product i.e 6319785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6319785
Therefore, the GCF of Fractions 3032/965,8325/6549 is 1/6319785
Least Common Multiple of 965,6549 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 965,6549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,6549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,6549) x common factors =1 x 1 = 1
LCM(965,6549) = ( 965 × 6549 ) / 1
LCM(965,6549) = 6319785 / 1
LCM(965,6549) = 6319785
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3032/965, 8325/6549
1. What is the HCF of 3032,8325?
The HCF of 3032,8325 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 3032/965, 8325/6549?
Answer: GCF of Numerators as per given numbers 3032/965, 8325/6549 is
GCF of Numerators i.e. for 3032,8325 is 1
LCM of denominators i.e. for 965,6549 is 6319785.
Thus, GCF of Fractions is 1/6319785.Finally, GCF of Fractions for 3032/965, 8325/6549 is 1/6319785.