GCF of 422/26, 927/1619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 422/26, 927/1619 i.e 1/42094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/26, 927/1619.
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 422/26,927/1619?
Given fractions are 422/26,927/1619
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 422/26,927/1619, numerators are 422,927
Denominators are 26,1619
The GCF of 422,927 is 1 .
LCM of 26,1619 is 42094.
The greatest common factor of 422/26,927/1619 = [GCF of 422,927]/[LCM of 26,1619]= 1/42094
Therefore, the GCF of 422/26,927/1619 is 1/42094.
To find the highest common factor of 422,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 422 are 1, 2, 211, 422
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 422,927 is 1.
Lets's calculate GCF of 422,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 422,927 By Matching Biggest Common Factor Method
Now, list down the factors of 422
:1,2,211,422
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 422,927 . The biggest common factor number is the GCF number.
So the greatest common factor 422,927 is 1.
Lets's calculate LCM of 26,1619
Given numbers has no common factors except 1. So, there LCM is their product i.e 42094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42094
Therefore, the GCF of Fractions 422/26,927/1619 is 1/42094
Least Common Multiple of 26,1619 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 26,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,1619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,1619) x common factors =1 x 1 = 1
LCM(26,1619) = ( 26 × 1619 ) / 1
LCM(26,1619) = 42094 / 1
LCM(26,1619) = 42094
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FAQs on GCF of Fractions of 422/26, 927/1619
1. What is the HCF of 422,927?
The HCF of 422,927 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 422/26, 927/1619?
Answer: GCF of Numerators as per given numbers 422/26, 927/1619 is
GCF of Numerators i.e. for 422,927 is 1
LCM of denominators i.e. for 26,1619 is 42094.
Thus, GCF of Fractions is 1/42094.Finally, GCF of Fractions for 422/26, 927/1619 is 1/42094.