GCF of 3245/173, 8504/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3245/173, 8504/4206 i.e 1/727638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3245/173, 8504/4206.
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 3245/173,8504/4206?
Given fractions are 3245/173,8504/4206
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 3245/173,8504/4206, numerators are 3245,8504
Denominators are 173,4206
The GCF of 3245,8504 is 1 .
LCM of 173,4206 is 727638.
The greatest common factor of 3245/173,8504/4206 = [GCF of 3245,8504]/[LCM of 173,4206]= 1/727638
Therefore, the GCF of 3245/173,8504/4206 is 1/727638.
To find the highest common factor of 3245,8504, we have to find the factors of both numbers and list the highest common factor.
The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504
The HCF of 3245,8504 is 1.
Lets's calculate GCF of 3245,8504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3245,8504 By Matching Biggest Common Factor Method
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Now, list down the factors of 8504
:1,2,4,8,1063,2126,4252,8504
Greatest Common Factor
We found the factors 3245,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 3245,8504 is 1.
Lets's calculate LCM of 173,4206
Given numbers has no common factors except 1. So, there LCM is their product i.e 727638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/727638
Therefore, the GCF of Fractions 3245/173,8504/4206 is 1/727638
Least Common Multiple of 173,4206 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 173,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,4206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,4206) x common factors =1 x 1 = 1
LCM(173,4206) = ( 173 × 4206 ) / 1
LCM(173,4206) = 727638 / 1
LCM(173,4206) = 727638
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FAQs on GCF of Fractions of 3245/173, 8504/4206
1. What is the HCF of 3245,8504?
The HCF of 3245,8504 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 3245/173, 8504/4206?
Answer: GCF of Numerators as per given numbers 3245/173, 8504/4206 is
GCF of Numerators i.e. for 3245,8504 is 1
LCM of denominators i.e. for 173,4206 is 727638.
Thus, GCF of Fractions is 1/727638.Finally, GCF of Fractions for 3245/173, 8504/4206 is 1/727638.