GCF of 3184/257, 2065/9977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3184/257, 2065/9977 i.e 1/2564089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3184/257, 2065/9977.
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 3184/257,2065/9977?
Given fractions are 3184/257,2065/9977
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 3184/257,2065/9977, numerators are 3184,2065
Denominators are 257,9977
The GCF of 3184,2065 is 1 .
LCM of 257,9977 is 2564089.
The greatest common factor of 3184/257,2065/9977 = [GCF of 3184,2065]/[LCM of 257,9977]= 1/2564089
Therefore, the GCF of 3184/257,2065/9977 is 1/2564089.
To find the highest common factor of 3184,2065, we have to find the factors of both numbers and list the highest common factor.
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The factors of 2065 are 1, 5, 7, 35, 59, 295, 413, 2065
The HCF of 3184,2065 is 1.
Lets's calculate GCF of 3184,2065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3184,2065 By Matching Biggest Common Factor Method
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Now, list down the factors of 2065
:1,5,7,35,59,295,413,2065
Greatest Common Factor
We found the factors 3184,2065 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,2065 is 1.
Lets's calculate LCM of 257,9977
Given numbers has no common factors except 1. So, there LCM is their product i.e 2564089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2564089
Therefore, the GCF of Fractions 3184/257,2065/9977 is 1/2564089
Least Common Multiple of 257,9977 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 257,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,9977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,9977) x common factors =1 x 1 = 1
LCM(257,9977) = ( 257 × 9977 ) / 1
LCM(257,9977) = 2564089 / 1
LCM(257,9977) = 2564089
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FAQs on GCF of Fractions of 3184/257, 2065/9977
1. What is the HCF of 3184,2065?
The HCF of 3184,2065 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 3184/257, 2065/9977?
Answer: GCF of Numerators as per given numbers 3184/257, 2065/9977 is
GCF of Numerators i.e. for 3184,2065 is 1
LCM of denominators i.e. for 257,9977 is 2564089.
Thus, GCF of Fractions is 1/2564089.Finally, GCF of Fractions for 3184/257, 2065/9977 is 1/2564089.