GCF of 5313/199, 8506/8107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5313/199, 8506/8107 i.e 1/1613293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5313/199, 8506/8107.
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 5313/199,8506/8107?
Given fractions are 5313/199,8506/8107
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 5313/199,8506/8107, numerators are 5313,8506
Denominators are 199,8107
The GCF of 5313,8506 is 1 .
LCM of 199,8107 is 1613293.
The greatest common factor of 5313/199,8506/8107 = [GCF of 5313,8506]/[LCM of 199,8107]= 1/1613293
Therefore, the GCF of 5313/199,8506/8107 is 1/1613293.
To find the highest common factor of 5313,8506, we have to find the factors of both numbers and list the highest common factor.
The factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
The factors of 8506 are 1, 2, 4253, 8506
The HCF of 5313,8506 is 1.
Lets's calculate GCF of 5313,8506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5313,8506 By Matching Biggest Common Factor Method
Now, list down the factors of 5313
:1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Now, list down the factors of 8506
:1,2,4253,8506
Greatest Common Factor
We found the factors 5313,8506 . The biggest common factor number is the GCF number.
So the greatest common factor 5313,8506 is 1.
Lets's calculate LCM of 199,8107
Given numbers has no common factors except 1. So, there LCM is their product i.e 1613293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1613293
Therefore, the GCF of Fractions 5313/199,8506/8107 is 1/1613293
Least Common Multiple of 199,8107 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 199,8107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,8107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,8107) x common factors =1 x 1 = 1
LCM(199,8107) = ( 199 × 8107 ) / 1
LCM(199,8107) = 1613293 / 1
LCM(199,8107) = 1613293
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FAQs on GCF of Fractions of 5313/199, 8506/8107
1. What is the HCF of 5313,8506?
The HCF of 5313,8506 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 5313/199, 8506/8107?
Answer: GCF of Numerators as per given numbers 5313/199, 8506/8107 is
GCF of Numerators i.e. for 5313,8506 is 1
LCM of denominators i.e. for 199,8107 is 1613293.
Thus, GCF of Fractions is 1/1613293.Finally, GCF of Fractions for 5313/199, 8506/8107 is 1/1613293.