GCF of 976/184, 9000/5945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/184, 9000/5945 i.e 8/1093880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/184, 9000/5945.
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 976/184,9000/5945?
Given fractions are 976/184,9000/5945
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 976/184,9000/5945, numerators are 976,9000
Denominators are 184,5945
The GCF of 976,9000 is 8 .
LCM of 184,5945 is 1093880.
The greatest common factor of 976/184,9000/5945 = [GCF of 976,9000]/[LCM of 184,5945]= 8/1093880
Therefore, the GCF of 976/184,9000/5945 is 8/1093880.
To find the highest common factor of 976,9000, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
The HCF of 976,9000 is 8.
Lets's calculate GCF of 976,9000
| 2 | 976, 9000 |
| 2 | 488, 4500 |
| 2 | 244, 2250 |
| 122, 1125 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 976,9000 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 9000
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Greatest Common Factor
We found the factors 976,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 976,9000 is 8.
Lets's calculate LCM of 184,5945
Given numbers has no common factors except 1. So, there LCM is their product i.e 1093880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1093880
Therefore, the GCF of Fractions 976/184,9000/5945 is 8/1093880
Least Common Multiple of 184,5945 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 184,5945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,5945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,5945) x common factors =1 x 1 = 1
LCM(184,5945) = ( 184 × 5945 ) / 1
LCM(184,5945) = 1093880 / 1
LCM(184,5945) = 1093880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 976/184, 9000/5945
1. What is the HCF of 976,9000?
The HCF of 976,9000 is 8
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 976/184, 9000/5945?
Answer: GCF of Numerators as per given numbers 976/184, 9000/5945 is
GCF of Numerators i.e. for 976,9000 is 8
LCM of denominators i.e. for 184,5945 is 1093880.
Thus, GCF of Fractions is 8/1093880.Finally, GCF of Fractions for 976/184, 9000/5945 is 8/1093880.