GCF of 1664/251, 3867/3168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1664/251, 3867/3168 i.e 1/795168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1664/251, 3867/3168.
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 1664/251,3867/3168?
Given fractions are 1664/251,3867/3168
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 1664/251,3867/3168, numerators are 1664,3867
Denominators are 251,3168
The GCF of 1664,3867 is 1 .
LCM of 251,3168 is 795168.
The greatest common factor of 1664/251,3867/3168 = [GCF of 1664,3867]/[LCM of 251,3168]= 1/795168
Therefore, the GCF of 1664/251,3867/3168 is 1/795168.
To find the highest common factor of 1664,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 1664,3867 is 1.
Lets's calculate GCF of 1664,3867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1664,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 1664,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,3867 is 1.
Lets's calculate LCM of 251,3168
Given numbers has no common factors except 1. So, there LCM is their product i.e 795168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795168
Therefore, the GCF of Fractions 1664/251,3867/3168 is 1/795168
Least Common Multiple of 251,3168 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 251,3168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,3168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,3168) x common factors =1 x 1 = 1
LCM(251,3168) = ( 251 × 3168 ) / 1
LCM(251,3168) = 795168 / 1
LCM(251,3168) = 795168
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FAQs on GCF of Fractions of 1664/251, 3867/3168
1. What is the HCF of 1664,3867?
The HCF of 1664,3867 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 1664/251, 3867/3168?
Answer: GCF of Numerators as per given numbers 1664/251, 3867/3168 is
GCF of Numerators i.e. for 1664,3867 is 1
LCM of denominators i.e. for 251,3168 is 795168.
Thus, GCF of Fractions is 1/795168.Finally, GCF of Fractions for 1664/251, 3867/3168 is 1/795168.