GCF of 9014/733, 7052/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9014/733, 7052/592 i.e 2/433936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9014/733, 7052/592.
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 9014/733,7052/592?
Given fractions are 9014/733,7052/592
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 9014/733,7052/592, numerators are 9014,7052
Denominators are 733,592
The GCF of 9014,7052 is 2 .
LCM of 733,592 is 433936.
The greatest common factor of 9014/733,7052/592 = [GCF of 9014,7052]/[LCM of 733,592]= 2/433936
Therefore, the GCF of 9014/733,7052/592 is 2/433936.
To find the highest common factor of 9014,7052, we have to find the factors of both numbers and list the highest common factor.
The factors of 9014 are 1, 2, 4507, 9014
The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052
The HCF of 9014,7052 is 2.
Lets's calculate GCF of 9014,7052
| 2 | 9014, 7052 |
| 4507, 3526 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9014,7052 By Matching Biggest Common Factor Method
Now, list down the factors of 9014
:1,2,4507,9014
Now, list down the factors of 7052
:1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 9014,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 9014,7052 is 2.
Lets's calculate LCM of 733,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 433936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/433936
Therefore, the GCF of Fractions 9014/733,7052/592 is 2/433936
Least Common Multiple of 733,592 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 733,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,592) x common factors =1 x 1 = 1
LCM(733,592) = ( 733 × 592 ) / 1
LCM(733,592) = 433936 / 1
LCM(733,592) = 433936
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FAQs on GCF of Fractions of 9014/733, 7052/592
1. What is the HCF of 9014,7052?
The HCF of 9014,7052 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 9014/733, 7052/592?
Answer: GCF of Numerators as per given numbers 9014/733, 7052/592 is
GCF of Numerators i.e. for 9014,7052 is 2
LCM of denominators i.e. for 733,592 is 433936.
Thus, GCF of Fractions is 2/433936.Finally, GCF of Fractions for 9014/733, 7052/592 is 2/433936.