GCF of 4185/371, 4532/8006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4185/371, 4532/8006 i.e 1/2970226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4185/371, 4532/8006.
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 4185/371,4532/8006?
Given fractions are 4185/371,4532/8006
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 4185/371,4532/8006, numerators are 4185,4532
Denominators are 371,8006
The GCF of 4185,4532 is 1 .
LCM of 371,8006 is 2970226.
The greatest common factor of 4185/371,4532/8006 = [GCF of 4185,4532]/[LCM of 371,8006]= 1/2970226
Therefore, the GCF of 4185/371,4532/8006 is 1/2970226.
To find the highest common factor of 4185,4532, we have to find the factors of both numbers and list the highest common factor.
The factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185
The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532
The HCF of 4185,4532 is 1.
Lets's calculate GCF of 4185,4532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4185,4532 By Matching Biggest Common Factor Method
Now, list down the factors of 4185
:1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185
Now, list down the factors of 4532
:1,2,4,11,22,44,103,206,412,1133,2266,4532
Greatest Common Factor
We found the factors 4185,4532 . The biggest common factor number is the GCF number.
So the greatest common factor 4185,4532 is 1.
Lets's calculate LCM of 371,8006
Given numbers has no common factors except 1. So, there LCM is their product i.e 2970226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2970226
Therefore, the GCF of Fractions 4185/371,4532/8006 is 1/2970226
Least Common Multiple of 371,8006 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 371,8006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,8006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,8006) x common factors =1 x 1 = 1
LCM(371,8006) = ( 371 × 8006 ) / 1
LCM(371,8006) = 2970226 / 1
LCM(371,8006) = 2970226
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FAQs on GCF of Fractions of 4185/371, 4532/8006
1. What is the HCF of 4185,4532?
The HCF of 4185,4532 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 4185/371, 4532/8006?
Answer: GCF of Numerators as per given numbers 4185/371, 4532/8006 is
GCF of Numerators i.e. for 4185,4532 is 1
LCM of denominators i.e. for 371,8006 is 2970226.
Thus, GCF of Fractions is 1/2970226.Finally, GCF of Fractions for 4185/371, 4532/8006 is 1/2970226.