GCF of 9161/164, 7268/9002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9161/164, 7268/9002 i.e 1/738164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9161/164, 7268/9002.
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 9161/164,7268/9002?
Given fractions are 9161/164,7268/9002
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 9161/164,7268/9002, numerators are 9161,7268
Denominators are 164,9002
The GCF of 9161,7268 is 1 .
LCM of 164,9002 is 738164.
The greatest common factor of 9161/164,7268/9002 = [GCF of 9161,7268]/[LCM of 164,9002]= 1/738164
Therefore, the GCF of 9161/164,7268/9002 is 1/738164.
To find the highest common factor of 9161,7268, we have to find the factors of both numbers and list the highest common factor.
The factors of 9161 are 1, 9161
The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268
The HCF of 9161,7268 is 1.
Lets's calculate GCF of 9161,7268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9161,7268 By Matching Biggest Common Factor Method
Now, list down the factors of 9161
:1,9161
Now, list down the factors of 7268
:1,2,4,23,46,79,92,158,316,1817,3634,7268
Greatest Common Factor
We found the factors 9161,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 9161,7268 is 1.
Lets's calculate LCM of 164,9002
| 2 | 164, 9002 |
| 82, 4501 |
∴ So the LCM of the given numbers is 2 x 82 x 4501 = 738164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738164
Therefore, the GCF of Fractions 9161/164,7268/9002 is 1/738164
Least Common Multiple of 164,9002 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 164,9002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9002) x common factors =2 x 1 = 2
LCM(164,9002) = ( 164 × 9002 ) / 2
LCM(164,9002) = 1476328 / 2
LCM(164,9002) = 738164
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FAQs on GCF of Fractions of 9161/164, 7268/9002
1. What is the HCF of 9161,7268?
The HCF of 9161,7268 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 9161/164, 7268/9002?
Answer: GCF of Numerators as per given numbers 9161/164, 7268/9002 is
GCF of Numerators i.e. for 9161,7268 is 1
LCM of denominators i.e. for 164,9002 is 738164.
Thus, GCF of Fractions is 1/738164.Finally, GCF of Fractions for 9161/164, 7268/9002 is 1/738164.