GCF of 9012/873, 8138/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9012/873, 8138/433 i.e 2/378009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9012/873, 8138/433.
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 9012/873,8138/433?
Given fractions are 9012/873,8138/433
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 9012/873,8138/433, numerators are 9012,8138
Denominators are 873,433
The GCF of 9012,8138 is 2 .
LCM of 873,433 is 378009.
The greatest common factor of 9012/873,8138/433 = [GCF of 9012,8138]/[LCM of 873,433]= 2/378009
Therefore, the GCF of 9012/873,8138/433 is 2/378009.
To find the highest common factor of 9012,8138, we have to find the factors of both numbers and list the highest common factor.
The factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012
The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138
The HCF of 9012,8138 is 2.
Lets's calculate GCF of 9012,8138
| 2 | 9012, 8138 |
| 4506, 4069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9012,8138 By Matching Biggest Common Factor Method
Now, list down the factors of 9012
:1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Now, list down the factors of 8138
:1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 9012,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 9012,8138 is 2.
Lets's calculate LCM of 873,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 378009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378009
Therefore, the GCF of Fractions 9012/873,8138/433 is 2/378009
Least Common Multiple of 873,433 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 873,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,433) x common factors =1 x 1 = 1
LCM(873,433) = ( 873 × 433 ) / 1
LCM(873,433) = 378009 / 1
LCM(873,433) = 378009
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FAQs on GCF of Fractions of 9012/873, 8138/433
1. What is the HCF of 9012,8138?
The HCF of 9012,8138 is 2
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 9012/873, 8138/433?
Answer: GCF of Numerators as per given numbers 9012/873, 8138/433 is
GCF of Numerators i.e. for 9012,8138 is 2
LCM of denominators i.e. for 873,433 is 378009.
Thus, GCF of Fractions is 2/378009.Finally, GCF of Fractions for 9012/873, 8138/433 is 2/378009.