GCF of 8300/159, 9007/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8300/159, 9007/986 i.e 1/156774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8300/159, 9007/986.
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 8300/159,9007/986?
Given fractions are 8300/159,9007/986
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 8300/159,9007/986, numerators are 8300,9007
Denominators are 159,986
The GCF of 8300,9007 is 1 .
LCM of 159,986 is 156774.
The greatest common factor of 8300/159,9007/986 = [GCF of 8300,9007]/[LCM of 159,986]= 1/156774
Therefore, the GCF of 8300/159,9007/986 is 1/156774.
To find the highest common factor of 8300,9007, we have to find the factors of both numbers and list the highest common factor.
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The factors of 9007 are 1, 9007
The HCF of 8300,9007 is 1.
Lets's calculate GCF of 8300,9007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8300,9007 By Matching Biggest Common Factor Method
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Now, list down the factors of 9007
:1,9007
Greatest Common Factor
We found the factors 8300,9007 . The biggest common factor number is the GCF number.
So the greatest common factor 8300,9007 is 1.
Lets's calculate LCM of 159,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 156774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156774
Therefore, the GCF of Fractions 8300/159,9007/986 is 1/156774
Least Common Multiple of 159,986 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 159,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,986) x common factors =1 x 1 = 1
LCM(159,986) = ( 159 × 986 ) / 1
LCM(159,986) = 156774 / 1
LCM(159,986) = 156774
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FAQs on GCF of Fractions of 8300/159, 9007/986
1. What is the HCF of 8300,9007?
The HCF of 8300,9007 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 8300/159, 9007/986?
Answer: GCF of Numerators as per given numbers 8300/159, 9007/986 is
GCF of Numerators i.e. for 8300,9007 is 1
LCM of denominators i.e. for 159,986 is 156774.
Thus, GCF of Fractions is 1/156774.Finally, GCF of Fractions for 8300/159, 9007/986 is 1/156774.