GCF of 8847/882, 7196/9571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8847/882, 7196/9571 i.e 1/8441622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8847/882, 7196/9571.
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 8847/882,7196/9571?
Given fractions are 8847/882,7196/9571
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 8847/882,7196/9571, numerators are 8847,7196
Denominators are 882,9571
The GCF of 8847,7196 is 1 .
LCM of 882,9571 is 8441622.
The greatest common factor of 8847/882,7196/9571 = [GCF of 8847,7196]/[LCM of 882,9571]= 1/8441622
Therefore, the GCF of 8847/882,7196/9571 is 1/8441622.
To find the highest common factor of 8847,7196, we have to find the factors of both numbers and list the highest common factor.
The factors of 8847 are 1, 3, 9, 983, 2949, 8847
The factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196
The HCF of 8847,7196 is 1.
Lets's calculate GCF of 8847,7196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8847,7196 By Matching Biggest Common Factor Method
Now, list down the factors of 8847
:1,3,9,983,2949,8847
Now, list down the factors of 7196
:1,2,4,7,14,28,257,514,1028,1799,3598,7196
Greatest Common Factor
We found the factors 8847,7196 . The biggest common factor number is the GCF number.
So the greatest common factor 8847,7196 is 1.
Lets's calculate LCM of 882,9571
Given numbers has no common factors except 1. So, there LCM is their product i.e 8441622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8441622
Therefore, the GCF of Fractions 8847/882,7196/9571 is 1/8441622
Least Common Multiple of 882,9571 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 882,9571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,9571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,9571) x common factors =1 x 1 = 1
LCM(882,9571) = ( 882 × 9571 ) / 1
LCM(882,9571) = 8441622 / 1
LCM(882,9571) = 8441622
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FAQs on GCF of Fractions of 8847/882, 7196/9571
1. What is the HCF of 8847,7196?
The HCF of 8847,7196 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 8847/882, 7196/9571?
Answer: GCF of Numerators as per given numbers 8847/882, 7196/9571 is
GCF of Numerators i.e. for 8847,7196 is 1
LCM of denominators i.e. for 882,9571 is 8441622.
Thus, GCF of Fractions is 1/8441622.Finally, GCF of Fractions for 8847/882, 7196/9571 is 1/8441622.