GCF of 185/77, 259/8474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 185/77, 259/8474 i.e 37/652498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 185/77, 259/8474.
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 185/77,259/8474?
Given fractions are 185/77,259/8474
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 185/77,259/8474, numerators are 185,259
Denominators are 77,8474
The GCF of 185,259 is 37 .
LCM of 77,8474 is 652498.
The greatest common factor of 185/77,259/8474 = [GCF of 185,259]/[LCM of 77,8474]= 37/652498
Therefore, the GCF of 185/77,259/8474 is 37/652498.
To find the highest common factor of 185,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 185 are 1, 5, 37, 185
The factors of 259 are 1, 7, 37, 259
The HCF of 185,259 is 37.
Lets's calculate GCF of 185,259
| 37 | 185, 259 |
| 5, 7 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 185,259 By Matching Biggest Common Factor Method
Now, list down the factors of 185
:1,5,37,185
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 185,259 . The biggest common factor number is the GCF number.
So the greatest common factor 185,259 is 37.
Lets's calculate LCM of 77,8474
Given numbers has no common factors except 1. So, there LCM is their product i.e 652498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/652498
Therefore, the GCF of Fractions 185/77,259/8474 is 37/652498
Least Common Multiple of 77,8474 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 77,8474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,8474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,8474) x common factors =1 x 1 = 1
LCM(77,8474) = ( 77 × 8474 ) / 1
LCM(77,8474) = 652498 / 1
LCM(77,8474) = 652498
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 185/77, 259/8474
1. What is the HCF of 185,259?
The HCF of 185,259 is 37
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 185/77, 259/8474?
Answer: GCF of Numerators as per given numbers 185/77, 259/8474 is
GCF of Numerators i.e. for 185,259 is 37
LCM of denominators i.e. for 77,8474 is 652498.
Thus, GCF of Fractions is 37/652498.Finally, GCF of Fractions for 185/77, 259/8474 is 37/652498.