GCF of 8807/884, 8200/1217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8807/884, 8200/1217 i.e 1/1075828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8807/884, 8200/1217.
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 8807/884,8200/1217?
Given fractions are 8807/884,8200/1217
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 8807/884,8200/1217, numerators are 8807,8200
Denominators are 884,1217
The GCF of 8807,8200 is 1 .
LCM of 884,1217 is 1075828.
The greatest common factor of 8807/884,8200/1217 = [GCF of 8807,8200]/[LCM of 884,1217]= 1/1075828
Therefore, the GCF of 8807/884,8200/1217 is 1/1075828.
To find the highest common factor of 8807,8200, we have to find the factors of both numbers and list the highest common factor.
The factors of 8807 are 1, 8807
The factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200
The HCF of 8807,8200 is 1.
Lets's calculate GCF of 8807,8200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8807,8200 By Matching Biggest Common Factor Method
Now, list down the factors of 8807
:1,8807
Now, list down the factors of 8200
:1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200
Greatest Common Factor
We found the factors 8807,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 8807,8200 is 1.
Lets's calculate LCM of 884,1217
Given numbers has no common factors except 1. So, there LCM is their product i.e 1075828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1075828
Therefore, the GCF of Fractions 8807/884,8200/1217 is 1/1075828
Least Common Multiple of 884,1217 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 884,1217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,1217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,1217) x common factors =1 x 1 = 1
LCM(884,1217) = ( 884 × 1217 ) / 1
LCM(884,1217) = 1075828 / 1
LCM(884,1217) = 1075828
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FAQs on GCF of Fractions of 8807/884, 8200/1217
1. What is the HCF of 8807,8200?
The HCF of 8807,8200 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 8807/884, 8200/1217?
Answer: GCF of Numerators as per given numbers 8807/884, 8200/1217 is
GCF of Numerators i.e. for 8807,8200 is 1
LCM of denominators i.e. for 884,1217 is 1075828.
Thus, GCF of Fractions is 1/1075828.Finally, GCF of Fractions for 8807/884, 8200/1217 is 1/1075828.