GCF of 5064/209, 5165/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5064/209, 5165/192 i.e 1/40128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5064/209, 5165/192.
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 5064/209,5165/192?
Given fractions are 5064/209,5165/192
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 5064/209,5165/192, numerators are 5064,5165
Denominators are 209,192
The GCF of 5064,5165 is 1 .
LCM of 209,192 is 40128.
The greatest common factor of 5064/209,5165/192 = [GCF of 5064,5165]/[LCM of 209,192]= 1/40128
Therefore, the GCF of 5064/209,5165/192 is 1/40128.
To find the highest common factor of 5064,5165, we have to find the factors of both numbers and list the highest common factor.
The factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064
The factors of 5165 are 1, 5, 1033, 5165
The HCF of 5064,5165 is 1.
Lets's calculate GCF of 5064,5165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5064,5165 By Matching Biggest Common Factor Method
Now, list down the factors of 5064
:1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Now, list down the factors of 5165
:1,5,1033,5165
Greatest Common Factor
We found the factors 5064,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 5064,5165 is 1.
Lets's calculate LCM of 209,192
Given numbers has no common factors except 1. So, there LCM is their product i.e 40128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40128
Therefore, the GCF of Fractions 5064/209,5165/192 is 1/40128
Least Common Multiple of 209,192 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 209,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,192) x common factors =1 x 1 = 1
LCM(209,192) = ( 209 × 192 ) / 1
LCM(209,192) = 40128 / 1
LCM(209,192) = 40128
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FAQs on GCF of Fractions of 5064/209, 5165/192
1. What is the HCF of 5064,5165?
The HCF of 5064,5165 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 5064/209, 5165/192?
Answer: GCF of Numerators as per given numbers 5064/209, 5165/192 is
GCF of Numerators i.e. for 5064,5165 is 1
LCM of denominators i.e. for 209,192 is 40128.
Thus, GCF of Fractions is 1/40128.Finally, GCF of Fractions for 5064/209, 5165/192 is 1/40128.