GCF of 1827/934, 1922/5415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1827/934, 1922/5415 i.e 1/5057610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1827/934, 1922/5415.
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 1827/934,1922/5415?
Given fractions are 1827/934,1922/5415
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 1827/934,1922/5415, numerators are 1827,1922
Denominators are 934,5415
The GCF of 1827,1922 is 1 .
LCM of 934,5415 is 5057610.
The greatest common factor of 1827/934,1922/5415 = [GCF of 1827,1922]/[LCM of 934,5415]= 1/5057610
Therefore, the GCF of 1827/934,1922/5415 is 1/5057610.
To find the highest common factor of 1827,1922, we have to find the factors of both numbers and list the highest common factor.
The factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827
The factors of 1922 are 1, 2, 31, 62, 961, 1922
The HCF of 1827,1922 is 1.
Lets's calculate GCF of 1827,1922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1827,1922 By Matching Biggest Common Factor Method
Now, list down the factors of 1827
:1,3,7,9,21,29,63,87,203,261,609,1827
Now, list down the factors of 1922
:1,2,31,62,961,1922
Greatest Common Factor
We found the factors 1827,1922 . The biggest common factor number is the GCF number.
So the greatest common factor 1827,1922 is 1.
Lets's calculate LCM of 934,5415
Given numbers has no common factors except 1. So, there LCM is their product i.e 5057610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5057610
Therefore, the GCF of Fractions 1827/934,1922/5415 is 1/5057610
Least Common Multiple of 934,5415 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 934,5415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,5415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,5415) x common factors =1 x 1 = 1
LCM(934,5415) = ( 934 × 5415 ) / 1
LCM(934,5415) = 5057610 / 1
LCM(934,5415) = 5057610
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FAQs on GCF of Fractions of 1827/934, 1922/5415
1. What is the HCF of 1827,1922?
The HCF of 1827,1922 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 1827/934, 1922/5415?
Answer: GCF of Numerators as per given numbers 1827/934, 1922/5415 is
GCF of Numerators i.e. for 1827,1922 is 1
LCM of denominators i.e. for 934,5415 is 5057610.
Thus, GCF of Fractions is 1/5057610.Finally, GCF of Fractions for 1827/934, 1922/5415 is 1/5057610.