GCF of 3000/436, 5049/7666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3000/436, 5049/7666 i.e 3/1671188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3000/436, 5049/7666.
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 3000/436,5049/7666?
Given fractions are 3000/436,5049/7666
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 3000/436,5049/7666, numerators are 3000,5049
Denominators are 436,7666
The GCF of 3000,5049 is 3 .
LCM of 436,7666 is 1671188.
The greatest common factor of 3000/436,5049/7666 = [GCF of 3000,5049]/[LCM of 436,7666]= 3/1671188
Therefore, the GCF of 3000/436,5049/7666 is 3/1671188.
To find the highest common factor of 3000,5049, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The HCF of 3000,5049 is 3.
Lets's calculate GCF of 3000,5049
| 3 | 3000, 5049 |
| 1000, 1683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3000,5049 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 3000,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 3000,5049 is 3.
Lets's calculate LCM of 436,7666
| 2 | 436, 7666 |
| 218, 3833 |
∴ So the LCM of the given numbers is 2 x 218 x 3833 = 1671188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1671188
Therefore, the GCF of Fractions 3000/436,5049/7666 is 3/1671188
Least Common Multiple of 436,7666 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 436,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,7666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(436,7666) x common factors =2 x 1 = 2
LCM(436,7666) = ( 436 × 7666 ) / 2
LCM(436,7666) = 3342376 / 2
LCM(436,7666) = 1671188
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3000/436, 5049/7666
1. What is the HCF of 3000,5049?
The HCF of 3000,5049 is 3
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 3000/436, 5049/7666?
Answer: GCF of Numerators as per given numbers 3000/436, 5049/7666 is
GCF of Numerators i.e. for 3000,5049 is 3
LCM of denominators i.e. for 436,7666 is 1671188.
Thus, GCF of Fractions is 3/1671188.Finally, GCF of Fractions for 3000/436, 5049/7666 is 3/1671188.