GCF of 4887/789, 9450/5864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4887/789, 9450/5864 i.e 27/4626696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4887/789, 9450/5864.
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 4887/789,9450/5864?
Given fractions are 4887/789,9450/5864
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 4887/789,9450/5864, numerators are 4887,9450
Denominators are 789,5864
The GCF of 4887,9450 is 27 .
LCM of 789,5864 is 4626696.
The greatest common factor of 4887/789,9450/5864 = [GCF of 4887,9450]/[LCM of 789,5864]= 27/4626696
Therefore, the GCF of 4887/789,9450/5864 is 27/4626696.
To find the highest common factor of 4887,9450, we have to find the factors of both numbers and list the highest common factor.
The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887
The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The HCF of 4887,9450 is 27.
Lets's calculate GCF of 4887,9450
| 3 | 4887, 9450 |
| 3 | 1629, 3150 |
| 3 | 543, 1050 |
| 181, 350 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4887,9450 By Matching Biggest Common Factor Method
Now, list down the factors of 4887
:1,3,9,27,181,543,1629,4887
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Greatest Common Factor
We found the factors 4887,9450 . The biggest common factor number is the GCF number.
So the greatest common factor 4887,9450 is 27.
Lets's calculate LCM of 789,5864
Given numbers has no common factors except 1. So, there LCM is their product i.e 4626696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/4626696
Therefore, the GCF of Fractions 4887/789,9450/5864 is 27/4626696
Least Common Multiple of 789,5864 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 789,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,5864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,5864) x common factors =1 x 1 = 1
LCM(789,5864) = ( 789 × 5864 ) / 1
LCM(789,5864) = 4626696 / 1
LCM(789,5864) = 4626696
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4887/789, 9450/5864
1. What is the HCF of 4887,9450?
The HCF of 4887,9450 is 27
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 4887/789, 9450/5864?
Answer: GCF of Numerators as per given numbers 4887/789, 9450/5864 is
GCF of Numerators i.e. for 4887,9450 is 27
LCM of denominators i.e. for 789,5864 is 4626696.
Thus, GCF of Fractions is 27/4626696.Finally, GCF of Fractions for 4887/789, 9450/5864 is 27/4626696.