GCF of 6012/144, 9007/8182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6012/144, 9007/8182 i.e 1/589104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6012/144, 9007/8182.
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 6012/144,9007/8182?
Given fractions are 6012/144,9007/8182
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 6012/144,9007/8182, numerators are 6012,9007
Denominators are 144,8182
The GCF of 6012,9007 is 1 .
LCM of 144,8182 is 589104.
The greatest common factor of 6012/144,9007/8182 = [GCF of 6012,9007]/[LCM of 144,8182]= 1/589104
Therefore, the GCF of 6012/144,9007/8182 is 1/589104.
To find the highest common factor of 6012,9007, we have to find the factors of both numbers and list the highest common factor.
The factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012
The factors of 9007 are 1, 9007
The HCF of 6012,9007 is 1.
Lets's calculate GCF of 6012,9007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6012,9007 By Matching Biggest Common Factor Method
Now, list down the factors of 6012
:1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012
Now, list down the factors of 9007
:1,9007
Greatest Common Factor
We found the factors 6012,9007 . The biggest common factor number is the GCF number.
So the greatest common factor 6012,9007 is 1.
Lets's calculate LCM of 144,8182
| 2 | 144, 8182 |
| 72, 4091 |
∴ So the LCM of the given numbers is 2 x 72 x 4091 = 589104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589104
Therefore, the GCF of Fractions 6012/144,9007/8182 is 1/589104
Least Common Multiple of 144,8182 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 144,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,8182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(144,8182) x common factors =2 x 1 = 2
LCM(144,8182) = ( 144 × 8182 ) / 2
LCM(144,8182) = 1178208 / 2
LCM(144,8182) = 589104
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FAQs on GCF of Fractions of 6012/144, 9007/8182
1. What is the HCF of 6012,9007?
The HCF of 6012,9007 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 6012/144, 9007/8182?
Answer: GCF of Numerators as per given numbers 6012/144, 9007/8182 is
GCF of Numerators i.e. for 6012,9007 is 1
LCM of denominators i.e. for 144,8182 is 589104.
Thus, GCF of Fractions is 1/589104.Finally, GCF of Fractions for 6012/144, 9007/8182 is 1/589104.