GCF of 3806/317, 3683/8053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3806/317, 3683/8053 i.e 1/2552801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3806/317, 3683/8053.
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 3806/317,3683/8053?
Given fractions are 3806/317,3683/8053
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 3806/317,3683/8053, numerators are 3806,3683
Denominators are 317,8053
The GCF of 3806,3683 is 1 .
LCM of 317,8053 is 2552801.
The greatest common factor of 3806/317,3683/8053 = [GCF of 3806,3683]/[LCM of 317,8053]= 1/2552801
Therefore, the GCF of 3806/317,3683/8053 is 1/2552801.
To find the highest common factor of 3806,3683, we have to find the factors of both numbers and list the highest common factor.
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The factors of 3683 are 1, 29, 127, 3683
The HCF of 3806,3683 is 1.
Lets's calculate GCF of 3806,3683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3806,3683 By Matching Biggest Common Factor Method
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Now, list down the factors of 3683
:1,29,127,3683
Greatest Common Factor
We found the factors 3806,3683 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,3683 is 1.
Lets's calculate LCM of 317,8053
Given numbers has no common factors except 1. So, there LCM is their product i.e 2552801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2552801
Therefore, the GCF of Fractions 3806/317,3683/8053 is 1/2552801
Least Common Multiple of 317,8053 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 317,8053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,8053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,8053) x common factors =1 x 1 = 1
LCM(317,8053) = ( 317 × 8053 ) / 1
LCM(317,8053) = 2552801 / 1
LCM(317,8053) = 2552801
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FAQs on GCF of Fractions of 3806/317, 3683/8053
1. What is the HCF of 3806,3683?
The HCF of 3806,3683 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 3806/317, 3683/8053?
Answer: GCF of Numerators as per given numbers 3806/317, 3683/8053 is
GCF of Numerators i.e. for 3806,3683 is 1
LCM of denominators i.e. for 317,8053 is 2552801.
Thus, GCF of Fractions is 1/2552801.Finally, GCF of Fractions for 3806/317, 3683/8053 is 1/2552801.