GCF of 890/67, 165/11, 622/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/67, 165/11, 622/361 i.e 1/266057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/67, 165/11, 622/361.
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 890/67,165/11,622/361?
Given fractions are 890/67,165/11,622/361
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 890/67,165/11,622/361, numerators are 890,165,622
Denominators are 67,11,361
The GCF of 890,165,622 is 1 .
LCM of 67,11,361 is 266057.
The greatest common factor of 890/67,165/11,622/361 = [GCF of 890,165,622]/[LCM of 67,11,361]= 1/266057
Therefore, the GCF of 890/67,165/11,622/361 is 1/266057.
To find the highest common factor of 890,165,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The factors of 622 are 1, 2, 311, 622
The HCF of 890,165,622 is 1.
Lets's calculate GCF of 890,165,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 890,165,622 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 890,165,622 . The biggest common factor number is the GCF number.
So the greatest common factor 890,165,622 is 1.
Lets's calculate LCM of 67,11,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 266057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266057
Therefore, the GCF of Fractions 890/67,165/11,622/361 is 1/266057
Least Common Multiple of 67,11,361 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 67,11,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,11,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,11,361) x common factors =1 x 1 = 1
LCM(67,11,361) = ( 67 × 11 × 361 ) / 1
LCM(67,11,361) = 266057 / 1
LCM(67,11,361) = 266057
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FAQs on GCF of Fractions of 890/67, 165/11, 622/361
1. What is the HCF of 890,165,622?
The HCF of 890,165,622 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 890/67, 165/11, 622/361?
Answer: GCF of Numerators as per given numbers 890/67, 165/11, 622/361 is
GCF of Numerators i.e. for 890,165,622 is 1
LCM of denominators i.e. for 67,11,361 is 266057.
Thus, GCF of Fractions is 1/266057.Finally, GCF of Fractions for 890/67, 165/11, 622/361 is 1/266057.