GCF of 184/118, 207/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 184/118, 207/509 i.e 23/60062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/118, 207/509.
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 184/118,207/509?
Given fractions are 184/118,207/509
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 184/118,207/509, numerators are 184,207
Denominators are 118,509
The GCF of 184,207 is 23 .
LCM of 118,509 is 60062.
The greatest common factor of 184/118,207/509 = [GCF of 184,207]/[LCM of 118,509]= 23/60062
Therefore, the GCF of 184/118,207/509 is 23/60062.
To find the highest common factor of 184,207, 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 207 are 1, 3, 9, 23, 69, 207
The HCF of 184,207 is 23.
Lets's calculate GCF of 184,207
| 23 | 184, 207 |
| 8, 9 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 184,207 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 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 184,207 . The biggest common factor number is the GCF number.
So the greatest common factor 184,207 is 23.
Lets's calculate LCM of 118,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 60062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/60062
Therefore, the GCF of Fractions 184/118,207/509 is 23/60062
Least Common Multiple of 118,509 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 118,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,509) x common factors =1 x 1 = 1
LCM(118,509) = ( 118 × 509 ) / 1
LCM(118,509) = 60062 / 1
LCM(118,509) = 60062
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FAQs on GCF of Fractions of 184/118, 207/509
1. What is the HCF of 184,207?
The HCF of 184,207 is 23
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 184/118, 207/509?
Answer: GCF of Numerators as per given numbers 184/118, 207/509 is
GCF of Numerators i.e. for 184,207 is 23
LCM of denominators i.e. for 118,509 is 60062.
Thus, GCF of Fractions is 23/60062.Finally, GCF of Fractions for 184/118, 207/509 is 23/60062.