GCF of 4869/475, 8000/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4869/475, 8000/890 i.e 1/84550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4869/475, 8000/890.
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 4869/475,8000/890?
Given fractions are 4869/475,8000/890
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 4869/475,8000/890, numerators are 4869,8000
Denominators are 475,890
The GCF of 4869,8000 is 1 .
LCM of 475,890 is 84550.
The greatest common factor of 4869/475,8000/890 = [GCF of 4869,8000]/[LCM of 475,890]= 1/84550
Therefore, the GCF of 4869/475,8000/890 is 1/84550.
To find the highest common factor of 4869,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
The HCF of 4869,8000 is 1.
Lets's calculate GCF of 4869,8000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4869,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Now, list down the factors of 8000
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Greatest Common Factor
We found the factors 4869,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,8000 is 1.
Lets's calculate LCM of 475,890
| 5 | 475, 890 |
| 95, 178 |
∴ So the LCM of the given numbers is 5 x 95 x 178 = 84550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84550
Therefore, the GCF of Fractions 4869/475,8000/890 is 1/84550
Least Common Multiple of 475,890 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 475,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,890) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,890) x common factors =5 x 1 = 5
LCM(475,890) = ( 475 × 890 ) / 5
LCM(475,890) = 422750 / 5
LCM(475,890) = 84550
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FAQs on GCF of Fractions of 4869/475, 8000/890
1. What is the HCF of 4869,8000?
The HCF of 4869,8000 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 4869/475, 8000/890?
Answer: GCF of Numerators as per given numbers 4869/475, 8000/890 is
GCF of Numerators i.e. for 4869,8000 is 1
LCM of denominators i.e. for 475,890 is 84550.
Thus, GCF of Fractions is 1/84550.Finally, GCF of Fractions for 4869/475, 8000/890 is 1/84550.