GCF of 8083/994, 9007/4246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8083/994, 9007/4246 i.e 1/2110262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8083/994, 9007/4246.
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 8083/994,9007/4246?
Given fractions are 8083/994,9007/4246
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 8083/994,9007/4246, numerators are 8083,9007
Denominators are 994,4246
The GCF of 8083,9007 is 1 .
LCM of 994,4246 is 2110262.
The greatest common factor of 8083/994,9007/4246 = [GCF of 8083,9007]/[LCM of 994,4246]= 1/2110262
Therefore, the GCF of 8083/994,9007/4246 is 1/2110262.
To find the highest common factor of 8083,9007, we have to find the factors of both numbers and list the highest common factor.
The factors of 8083 are 1, 59, 137, 8083
The factors of 9007 are 1, 9007
The HCF of 8083,9007 is 1.
Lets's calculate GCF of 8083,9007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8083,9007 By Matching Biggest Common Factor Method
Now, list down the factors of 8083
:1,59,137,8083
Now, list down the factors of 9007
:1,9007
Greatest Common Factor
We found the factors 8083,9007 . The biggest common factor number is the GCF number.
So the greatest common factor 8083,9007 is 1.
Lets's calculate LCM of 994,4246
| 2 | 994, 4246 |
| 497, 2123 |
∴ So the LCM of the given numbers is 2 x 497 x 2123 = 2110262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2110262
Therefore, the GCF of Fractions 8083/994,9007/4246 is 1/2110262
Least Common Multiple of 994,4246 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 994,4246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,4246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,4246) x common factors =2 x 1 = 2
LCM(994,4246) = ( 994 × 4246 ) / 2
LCM(994,4246) = 4220524 / 2
LCM(994,4246) = 2110262
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FAQs on GCF of Fractions of 8083/994, 9007/4246
1. What is the HCF of 8083,9007?
The HCF of 8083,9007 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 8083/994, 9007/4246?
Answer: GCF of Numerators as per given numbers 8083/994, 9007/4246 is
GCF of Numerators i.e. for 8083,9007 is 1
LCM of denominators i.e. for 994,4246 is 2110262.
Thus, GCF of Fractions is 1/2110262.Finally, GCF of Fractions for 8083/994, 9007/4246 is 1/2110262.