GCF of 5618/900, 3000/9465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5618/900, 3000/9465 i.e 2/567900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5618/900, 3000/9465.
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 5618/900,3000/9465?
Given fractions are 5618/900,3000/9465
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 5618/900,3000/9465, numerators are 5618,3000
Denominators are 900,9465
The GCF of 5618,3000 is 2 .
LCM of 900,9465 is 567900.
The greatest common factor of 5618/900,3000/9465 = [GCF of 5618,3000]/[LCM of 900,9465]= 2/567900
Therefore, the GCF of 5618/900,3000/9465 is 2/567900.
To find the highest common factor of 5618,3000, we have to find the factors of both numbers and list the highest common factor.
The factors of 5618 are 1, 2, 53, 106, 2809, 5618
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The HCF of 5618,3000 is 2.
Lets's calculate GCF of 5618,3000
| 2 | 5618, 3000 |
| 2809, 1500 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5618,3000 By Matching Biggest Common Factor Method
Now, list down the factors of 5618
:1,2,53,106,2809,5618
Now, list down the factors of 3000
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 5618,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 5618,3000 is 2.
Lets's calculate LCM of 900,9465
| 3 | 900, 9465 |
| 5 | 300, 3155 |
| 60, 631 |
∴ So the LCM of the given numbers is 3 x 5 x 60 x 631 = 567900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/567900
Therefore, the GCF of Fractions 5618/900,3000/9465 is 2/567900
Least Common Multiple of 900,9465 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 900,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,9465) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(900,9465) x common factors =15 x 1 = 15
LCM(900,9465) = ( 900 × 9465 ) / 15
LCM(900,9465) = 8518500 / 15
LCM(900,9465) = 567900
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FAQs on GCF of Fractions of 5618/900, 3000/9465
1. What is the HCF of 5618,3000?
The HCF of 5618,3000 is 2
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 5618/900, 3000/9465?
Answer: GCF of Numerators as per given numbers 5618/900, 3000/9465 is
GCF of Numerators i.e. for 5618,3000 is 2
LCM of denominators i.e. for 900,9465 is 567900.
Thus, GCF of Fractions is 2/567900.Finally, GCF of Fractions for 5618/900, 3000/9465 is 2/567900.