GCF of 6000/783, 3121/5325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6000/783, 3121/5325 i.e 1/1389825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6000/783, 3121/5325.
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 6000/783,3121/5325?
Given fractions are 6000/783,3121/5325
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 6000/783,3121/5325, numerators are 6000,3121
Denominators are 783,5325
The GCF of 6000,3121 is 1 .
LCM of 783,5325 is 1389825.
The greatest common factor of 6000/783,3121/5325 = [GCF of 6000,3121]/[LCM of 783,5325]= 1/1389825
Therefore, the GCF of 6000/783,3121/5325 is 1/1389825.
To find the highest common factor of 6000,3121, we have to find the factors of both numbers and list the highest common factor.
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The factors of 3121 are 1, 3121
The HCF of 6000,3121 is 1.
Lets's calculate GCF of 6000,3121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6000,3121 By Matching Biggest Common Factor Method
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Now, list down the factors of 3121
:1,3121
Greatest Common Factor
We found the factors 6000,3121 . The biggest common factor number is the GCF number.
So the greatest common factor 6000,3121 is 1.
Lets's calculate LCM of 783,5325
| 3 | 783, 5325 |
| 261, 1775 |
∴ So the LCM of the given numbers is 3 x 261 x 1775 = 1389825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389825
Therefore, the GCF of Fractions 6000/783,3121/5325 is 1/1389825
Least Common Multiple of 783,5325 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 783,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,5325) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,5325) x common factors =3 x 1 = 3
LCM(783,5325) = ( 783 × 5325 ) / 3
LCM(783,5325) = 4169475 / 3
LCM(783,5325) = 1389825
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FAQs on GCF of Fractions of 6000/783, 3121/5325
1. What is the HCF of 6000,3121?
The HCF of 6000,3121 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 6000/783, 3121/5325?
Answer: GCF of Numerators as per given numbers 6000/783, 3121/5325 is
GCF of Numerators i.e. for 6000,3121 is 1
LCM of denominators i.e. for 783,5325 is 1389825.
Thus, GCF of Fractions is 1/1389825.Finally, GCF of Fractions for 6000/783, 3121/5325 is 1/1389825.