GCF of 9007/642, 8100/8515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9007/642, 8100/8515 i.e 1/5466630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9007/642, 8100/8515.
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 9007/642,8100/8515?
Given fractions are 9007/642,8100/8515
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 9007/642,8100/8515, numerators are 9007,8100
Denominators are 642,8515
The GCF of 9007,8100 is 1 .
LCM of 642,8515 is 5466630.
The greatest common factor of 9007/642,8100/8515 = [GCF of 9007,8100]/[LCM of 642,8515]= 1/5466630
Therefore, the GCF of 9007/642,8100/8515 is 1/5466630.
To find the highest common factor of 9007,8100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9007 are 1, 9007
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 9007,8100 is 1.
Lets's calculate GCF of 9007,8100
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9007,8100 By Matching Biggest Common Factor Method
Now, list down the factors of 9007
:1,9007
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 9007,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,8100 is 1.
Lets's calculate LCM of 642,8515
Given numbers has no common factors except 1. So, there LCM is their product i.e 5466630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5466630
Therefore, the GCF of Fractions 9007/642,8100/8515 is 1/5466630
Least Common Multiple of 642,8515 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 642,8515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,8515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,8515) x common factors =1 x 1 = 1
LCM(642,8515) = ( 642 × 8515 ) / 1
LCM(642,8515) = 5466630 / 1
LCM(642,8515) = 5466630
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FAQs on GCF of Fractions of 9007/642, 8100/8515
1. What is the HCF of 9007,8100?
The HCF of 9007,8100 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 9007/642, 8100/8515?
Answer: GCF of Numerators as per given numbers 9007/642, 8100/8515 is
GCF of Numerators i.e. for 9007,8100 is 1
LCM of denominators i.e. for 642,8515 is 5466630.
Thus, GCF of Fractions is 1/5466630.Finally, GCF of Fractions for 9007/642, 8100/8515 is 1/5466630.