GCF of 184/42, 209/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 184/42, 209/715 i.e 1/30030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/42, 209/715.
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 184/42,209/715?
Given fractions are 184/42,209/715
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 184/42,209/715, numerators are 184,209
Denominators are 42,715
The GCF of 184,209 is 1 .
LCM of 42,715 is 30030.
The greatest common factor of 184/42,209/715 = [GCF of 184,209]/[LCM of 42,715]= 1/30030
Therefore, the GCF of 184/42,209/715 is 1/30030.
To find the highest common factor of 184,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The factors of 209 are 1, 11, 19, 209
The HCF of 184,209 is 1.
Lets's calculate GCF of 184,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 184,209 By Matching Biggest Common Factor Method
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 184,209 . The biggest common factor number is the GCF number.
So the greatest common factor 184,209 is 1.
Lets's calculate LCM of 42,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 30030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30030
Therefore, the GCF of Fractions 184/42,209/715 is 1/30030
Least Common Multiple of 42,715 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 42,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,715) x common factors =1 x 1 = 1
LCM(42,715) = ( 42 × 715 ) / 1
LCM(42,715) = 30030 / 1
LCM(42,715) = 30030
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FAQs on GCF of Fractions of 184/42, 209/715
1. What is the HCF of 184,209?
The HCF of 184,209 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 184/42, 209/715?
Answer: GCF of Numerators as per given numbers 184/42, 209/715 is
GCF of Numerators i.e. for 184,209 is 1
LCM of denominators i.e. for 42,715 is 30030.
Thus, GCF of Fractions is 1/30030.Finally, GCF of Fractions for 184/42, 209/715 is 1/30030.