GCF of 9136/543, 6662/2152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9136/543, 6662/2152 i.e 2/1168536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/543, 6662/2152.
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 9136/543,6662/2152?
Given fractions are 9136/543,6662/2152
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 9136/543,6662/2152, numerators are 9136,6662
Denominators are 543,2152
The GCF of 9136,6662 is 2 .
LCM of 543,2152 is 1168536.
The greatest common factor of 9136/543,6662/2152 = [GCF of 9136,6662]/[LCM of 543,2152]= 2/1168536
Therefore, the GCF of 9136/543,6662/2152 is 2/1168536.
To find the highest common factor of 9136,6662, we have to find the factors of both numbers and list the highest common factor.
The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136
The factors of 6662 are 1, 2, 3331, 6662
The HCF of 9136,6662 is 2.
Lets's calculate GCF of 9136,6662
| 2 | 9136, 6662 |
| 4568, 3331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9136,6662 By Matching Biggest Common Factor Method
Now, list down the factors of 9136
:1,2,4,8,16,571,1142,2284,4568,9136
Now, list down the factors of 6662
:1,2,3331,6662
Greatest Common Factor
We found the factors 9136,6662 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,6662 is 2.
Lets's calculate LCM of 543,2152
Given numbers has no common factors except 1. So, there LCM is their product i.e 1168536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1168536
Therefore, the GCF of Fractions 9136/543,6662/2152 is 2/1168536
Least Common Multiple of 543,2152 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 543,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,2152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,2152) x common factors =1 x 1 = 1
LCM(543,2152) = ( 543 × 2152 ) / 1
LCM(543,2152) = 1168536 / 1
LCM(543,2152) = 1168536
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FAQs on GCF of Fractions of 9136/543, 6662/2152
1. What is the HCF of 9136,6662?
The HCF of 9136,6662 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 9136/543, 6662/2152?
Answer: GCF of Numerators as per given numbers 9136/543, 6662/2152 is
GCF of Numerators i.e. for 9136,6662 is 2
LCM of denominators i.e. for 543,2152 is 1168536.
Thus, GCF of Fractions is 2/1168536.Finally, GCF of Fractions for 9136/543, 6662/2152 is 2/1168536.