GCF of 3666/873, 4051/9205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3666/873, 4051/9205 i.e 1/8035965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3666/873, 4051/9205.
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 3666/873,4051/9205?
Given fractions are 3666/873,4051/9205
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 3666/873,4051/9205, numerators are 3666,4051
Denominators are 873,9205
The GCF of 3666,4051 is 1 .
LCM of 873,9205 is 8035965.
The greatest common factor of 3666/873,4051/9205 = [GCF of 3666,4051]/[LCM of 873,9205]= 1/8035965
Therefore, the GCF of 3666/873,4051/9205 is 1/8035965.
To find the highest common factor of 3666,4051, we have to find the factors of both numbers and list the highest common factor.
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The factors of 4051 are 1, 4051
The HCF of 3666,4051 is 1.
Lets's calculate GCF of 3666,4051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3666,4051 By Matching Biggest Common Factor Method
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Now, list down the factors of 4051
:1,4051
Greatest Common Factor
We found the factors 3666,4051 . The biggest common factor number is the GCF number.
So the greatest common factor 3666,4051 is 1.
Lets's calculate LCM of 873,9205
Given numbers has no common factors except 1. So, there LCM is their product i.e 8035965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8035965
Therefore, the GCF of Fractions 3666/873,4051/9205 is 1/8035965
Least Common Multiple of 873,9205 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 873,9205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9205) x common factors =1 x 1 = 1
LCM(873,9205) = ( 873 × 9205 ) / 1
LCM(873,9205) = 8035965 / 1
LCM(873,9205) = 8035965
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3666/873, 4051/9205
1. What is the HCF of 3666,4051?
The HCF of 3666,4051 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 3666/873, 4051/9205?
Answer: GCF of Numerators as per given numbers 3666/873, 4051/9205 is
GCF of Numerators i.e. for 3666,4051 is 1
LCM of denominators i.e. for 873,9205 is 8035965.
Thus, GCF of Fractions is 1/8035965.Finally, GCF of Fractions for 3666/873, 4051/9205 is 1/8035965.