GCF of 3893/318, 8745/8287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3893/318, 8745/8287 i.e 1/2635266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3893/318, 8745/8287.
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 3893/318,8745/8287?
Given fractions are 3893/318,8745/8287
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 3893/318,8745/8287, numerators are 3893,8745
Denominators are 318,8287
The GCF of 3893,8745 is 1 .
LCM of 318,8287 is 2635266.
The greatest common factor of 3893/318,8745/8287 = [GCF of 3893,8745]/[LCM of 318,8287]= 1/2635266
Therefore, the GCF of 3893/318,8745/8287 is 1/2635266.
To find the highest common factor of 3893,8745, we have to find the factors of both numbers and list the highest common factor.
The factors of 3893 are 1, 17, 229, 3893
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The HCF of 3893,8745 is 1.
Lets's calculate GCF of 3893,8745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3893,8745 By Matching Biggest Common Factor Method
Now, list down the factors of 3893
:1,17,229,3893
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Greatest Common Factor
We found the factors 3893,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 3893,8745 is 1.
Lets's calculate LCM of 318,8287
Given numbers has no common factors except 1. So, there LCM is their product i.e 2635266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2635266
Therefore, the GCF of Fractions 3893/318,8745/8287 is 1/2635266
Least Common Multiple of 318,8287 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 318,8287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,8287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(318,8287) x common factors =1 x 1 = 1
LCM(318,8287) = ( 318 × 8287 ) / 1
LCM(318,8287) = 2635266 / 1
LCM(318,8287) = 2635266
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FAQs on GCF of Fractions of 3893/318, 8745/8287
1. What is the HCF of 3893,8745?
The HCF of 3893,8745 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 3893/318, 8745/8287?
Answer: GCF of Numerators as per given numbers 3893/318, 8745/8287 is
GCF of Numerators i.e. for 3893,8745 is 1
LCM of denominators i.e. for 318,8287 is 2635266.
Thus, GCF of Fractions is 1/2635266.Finally, GCF of Fractions for 3893/318, 8745/8287 is 1/2635266.