GCF of 3006/183, 5051/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3006/183, 5051/761 i.e 1/139263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3006/183, 5051/761.
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 3006/183,5051/761?
Given fractions are 3006/183,5051/761
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 3006/183,5051/761, numerators are 3006,5051
Denominators are 183,761
The GCF of 3006,5051 is 1 .
LCM of 183,761 is 139263.
The greatest common factor of 3006/183,5051/761 = [GCF of 3006,5051]/[LCM of 183,761]= 1/139263
Therefore, the GCF of 3006/183,5051/761 is 1/139263.
To find the highest common factor of 3006,5051, we have to find the factors of both numbers and list the highest common factor.
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006
The factors of 5051 are 1, 5051
The HCF of 3006,5051 is 1.
Lets's calculate GCF of 3006,5051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3006,5051 By Matching Biggest Common Factor Method
Now, list down the factors of 3006
:1,2,3,6,9,18,167,334,501,1002,1503,3006
Now, list down the factors of 5051
:1,5051
Greatest Common Factor
We found the factors 3006,5051 . The biggest common factor number is the GCF number.
So the greatest common factor 3006,5051 is 1.
Lets's calculate LCM of 183,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 139263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139263
Therefore, the GCF of Fractions 3006/183,5051/761 is 1/139263
Least Common Multiple of 183,761 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 183,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,761) x common factors =1 x 1 = 1
LCM(183,761) = ( 183 × 761 ) / 1
LCM(183,761) = 139263 / 1
LCM(183,761) = 139263
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FAQs on GCF of Fractions of 3006/183, 5051/761
1. What is the HCF of 3006,5051?
The HCF of 3006,5051 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 3006/183, 5051/761?
Answer: GCF of Numerators as per given numbers 3006/183, 5051/761 is
GCF of Numerators i.e. for 3006,5051 is 1
LCM of denominators i.e. for 183,761 is 139263.
Thus, GCF of Fractions is 1/139263.Finally, GCF of Fractions for 3006/183, 5051/761 is 1/139263.