GCF of 197/91, 904/73, 844/89
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/91, 904/73, 844/89 i.e 1/591227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/91, 904/73, 844/89.
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 197/91,904/73,844/89?
Given fractions are 197/91,904/73,844/89
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 197/91,904/73,844/89, numerators are 197,904,844
Denominators are 91,73,89
The GCF of 197,904,844 is 1 .
LCM of 91,73,89 is 591227.
The greatest common factor of 197/91,904/73,844/89 = [GCF of 197,904,844]/[LCM of 91,73,89]= 1/591227
Therefore, the GCF of 197/91,904/73,844/89 is 1/591227.
To find the highest common factor of 197,904,844, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 844 are 1, 2, 4, 211, 422, 844
The HCF of 197,904,844 is 1.
Lets's calculate GCF of 197,904,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,904,844 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 844
:1,2,4,211,422,844
Greatest Common Factor
We found the factors 197,904,844 . The biggest common factor number is the GCF number.
So the greatest common factor 197,904,844 is 1.
Lets's calculate LCM of 91,73,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 591227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591227
Therefore, the GCF of Fractions 197/91,904/73,844/89 is 1/591227
Least Common Multiple of 91,73,89 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 91,73,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,73,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,73,89) x common factors =1 x 1 = 1
LCM(91,73,89) = ( 91 × 73 × 89 ) / 1
LCM(91,73,89) = 591227 / 1
LCM(91,73,89) = 591227
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FAQs on GCF of Fractions of 197/91, 904/73, 844/89
1. What is the HCF of 197,904,844?
The HCF of 197,904,844 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 197/91, 904/73, 844/89?
Answer: GCF of Numerators as per given numbers 197/91, 904/73, 844/89 is
GCF of Numerators i.e. for 197,904,844 is 1
LCM of denominators i.e. for 91,73,89 is 591227.
Thus, GCF of Fractions is 1/591227.Finally, GCF of Fractions for 197/91, 904/73, 844/89 is 1/591227.