GCF of 2066/167, 2667/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2066/167, 2667/320 i.e 1/53440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2066/167, 2667/320.
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 2066/167,2667/320?
Given fractions are 2066/167,2667/320
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 2066/167,2667/320, numerators are 2066,2667
Denominators are 167,320
The GCF of 2066,2667 is 1 .
LCM of 167,320 is 53440.
The greatest common factor of 2066/167,2667/320 = [GCF of 2066,2667]/[LCM of 167,320]= 1/53440
Therefore, the GCF of 2066/167,2667/320 is 1/53440.
To find the highest common factor of 2066,2667, we have to find the factors of both numbers and list the highest common factor.
The factors of 2066 are 1, 2, 1033, 2066
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The HCF of 2066,2667 is 1.
Lets's calculate GCF of 2066,2667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2066,2667 By Matching Biggest Common Factor Method
Now, list down the factors of 2066
:1,2,1033,2066
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 2066,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 2066,2667 is 1.
Lets's calculate LCM of 167,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 53440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53440
Therefore, the GCF of Fractions 2066/167,2667/320 is 1/53440
Least Common Multiple of 167,320 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 167,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,320) x common factors =1 x 1 = 1
LCM(167,320) = ( 167 × 320 ) / 1
LCM(167,320) = 53440 / 1
LCM(167,320) = 53440
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FAQs on GCF of Fractions of 2066/167, 2667/320
1. What is the HCF of 2066,2667?
The HCF of 2066,2667 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 2066/167, 2667/320?
Answer: GCF of Numerators as per given numbers 2066/167, 2667/320 is
GCF of Numerators i.e. for 2066,2667 is 1
LCM of denominators i.e. for 167,320 is 53440.
Thus, GCF of Fractions is 1/53440.Finally, GCF of Fractions for 2066/167, 2667/320 is 1/53440.