GCF of 184/918, 8050/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 184/918, 8050/972 i.e 46/16524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/918, 8050/972.
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 184/918,8050/972?
Given fractions are 184/918,8050/972
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 184/918,8050/972, numerators are 184,8050
Denominators are 918,972
The GCF of 184,8050 is 46 .
LCM of 918,972 is 16524.
The greatest common factor of 184/918,8050/972 = [GCF of 184,8050]/[LCM of 918,972]= 46/16524
Therefore, the GCF of 184/918,8050/972 is 46/16524.
To find the highest common factor of 184,8050, 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 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The HCF of 184,8050 is 46.
Lets's calculate GCF of 184,8050
| 2 | 184, 8050 |
| 23 | 92, 4025 |
| 4, 175 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 184,8050 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 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Greatest Common Factor
We found the factors 184,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 184,8050 is 46.
Lets's calculate LCM of 918,972
| 2 | 918, 972 |
| 3 | 459, 486 |
| 3 | 153, 162 |
| 3 | 51, 54 |
| 17, 18 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 18 = 16524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/16524
Therefore, the GCF of Fractions 184/918,8050/972 is 46/16524
Least Common Multiple of 918,972 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 918,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,972) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(918,972) x common factors =54 x 1 = 54
LCM(918,972) = ( 918 × 972 ) / 54
LCM(918,972) = 892296 / 54
LCM(918,972) = 16524
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 184/918, 8050/972
1. What is the HCF of 184,8050?
The HCF of 184,8050 is 46
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 184/918, 8050/972?
Answer: GCF of Numerators as per given numbers 184/918, 8050/972 is
GCF of Numerators i.e. for 184,8050 is 46
LCM of denominators i.e. for 918,972 is 16524.
Thus, GCF of Fractions is 46/16524.Finally, GCF of Fractions for 184/918, 8050/972 is 46/16524.