GCF of 9221/979, 1827/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9221/979, 1827/656 i.e 1/642224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9221/979, 1827/656.
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 9221/979,1827/656?
Given fractions are 9221/979,1827/656
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 9221/979,1827/656, numerators are 9221,1827
Denominators are 979,656
The GCF of 9221,1827 is 1 .
LCM of 979,656 is 642224.
The greatest common factor of 9221/979,1827/656 = [GCF of 9221,1827]/[LCM of 979,656]= 1/642224
Therefore, the GCF of 9221/979,1827/656 is 1/642224.
To find the highest common factor of 9221,1827, we have to find the factors of both numbers and list the highest common factor.
The factors of 9221 are 1, 9221
The factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827
The HCF of 9221,1827 is 1.
Lets's calculate GCF of 9221,1827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9221,1827 By Matching Biggest Common Factor Method
Now, list down the factors of 9221
:1,9221
Now, list down the factors of 1827
:1,3,7,9,21,29,63,87,203,261,609,1827
Greatest Common Factor
We found the factors 9221,1827 . The biggest common factor number is the GCF number.
So the greatest common factor 9221,1827 is 1.
Lets's calculate LCM of 979,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 642224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642224
Therefore, the GCF of Fractions 9221/979,1827/656 is 1/642224
Least Common Multiple of 979,656 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 979,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,656) x common factors =1 x 1 = 1
LCM(979,656) = ( 979 × 656 ) / 1
LCM(979,656) = 642224 / 1
LCM(979,656) = 642224
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FAQs on GCF of Fractions of 9221/979, 1827/656
1. What is the HCF of 9221,1827?
The HCF of 9221,1827 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 9221/979, 1827/656?
Answer: GCF of Numerators as per given numbers 9221/979, 1827/656 is
GCF of Numerators i.e. for 9221,1827 is 1
LCM of denominators i.e. for 979,656 is 642224.
Thus, GCF of Fractions is 1/642224.Finally, GCF of Fractions for 9221/979, 1827/656 is 1/642224.