GCF of 8513/883, 8516/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8513/883, 8516/207 i.e 1/182781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8513/883, 8516/207.
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 8513/883,8516/207?
Given fractions are 8513/883,8516/207
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 8513/883,8516/207, numerators are 8513,8516
Denominators are 883,207
The GCF of 8513,8516 is 1 .
LCM of 883,207 is 182781.
The greatest common factor of 8513/883,8516/207 = [GCF of 8513,8516]/[LCM of 883,207]= 1/182781
Therefore, the GCF of 8513/883,8516/207 is 1/182781.
To find the highest common factor of 8513,8516, we have to find the factors of both numbers and list the highest common factor.
The factors of 8513 are 1, 8513
The factors of 8516 are 1, 2, 4, 2129, 4258, 8516
The HCF of 8513,8516 is 1.
Lets's calculate GCF of 8513,8516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8513,8516 By Matching Biggest Common Factor Method
Now, list down the factors of 8513
:1,8513
Now, list down the factors of 8516
:1,2,4,2129,4258,8516
Greatest Common Factor
We found the factors 8513,8516 . The biggest common factor number is the GCF number.
So the greatest common factor 8513,8516 is 1.
Lets's calculate LCM of 883,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 182781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182781
Therefore, the GCF of Fractions 8513/883,8516/207 is 1/182781
Least Common Multiple of 883,207 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 883,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,207) x common factors =1 x 1 = 1
LCM(883,207) = ( 883 × 207 ) / 1
LCM(883,207) = 182781 / 1
LCM(883,207) = 182781
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FAQs on GCF of Fractions of 8513/883, 8516/207
1. What is the HCF of 8513,8516?
The HCF of 8513,8516 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 8513/883, 8516/207?
Answer: GCF of Numerators as per given numbers 8513/883, 8516/207 is
GCF of Numerators i.e. for 8513,8516 is 1
LCM of denominators i.e. for 883,207 is 182781.
Thus, GCF of Fractions is 1/182781.Finally, GCF of Fractions for 8513/883, 8516/207 is 1/182781.