GCF of 7857/483, 6200/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7857/483, 6200/805 i.e 1/2415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7857/483, 6200/805.
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 7857/483,6200/805?
Given fractions are 7857/483,6200/805
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 7857/483,6200/805, numerators are 7857,6200
Denominators are 483,805
The GCF of 7857,6200 is 1 .
LCM of 483,805 is 2415.
The greatest common factor of 7857/483,6200/805 = [GCF of 7857,6200]/[LCM of 483,805]= 1/2415
Therefore, the GCF of 7857/483,6200/805 is 1/2415.
To find the highest common factor of 7857,6200, we have to find the factors of both numbers and list the highest common factor.
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The factors of 6200 are 1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100, 6200
The HCF of 7857,6200 is 1.
Lets's calculate GCF of 7857,6200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7857,6200 By Matching Biggest Common Factor Method
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Now, list down the factors of 6200
:1,2,4,5,8,10,20,25,31,40,50,62,100,124,155,200,248,310,620,775,1240,1550,3100,6200
Greatest Common Factor
We found the factors 7857,6200 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,6200 is 1.
Lets's calculate LCM of 483,805
| 7 | 483, 805 |
| 23 | 69, 115 |
| 3, 5 |
∴ So the LCM of the given numbers is 7 x 23 x 3 x 5 = 2415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415
Therefore, the GCF of Fractions 7857/483,6200/805 is 1/2415
Least Common Multiple of 483,805 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 483,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,805) = 161
common factors(in case of two or more numbers have common factors) = 1
GCF(483,805) x common factors =161 x 1 = 161
LCM(483,805) = ( 483 × 805 ) / 161
LCM(483,805) = 388815 / 161
LCM(483,805) = 2415
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FAQs on GCF of Fractions of 7857/483, 6200/805
1. What is the HCF of 7857,6200?
The HCF of 7857,6200 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 7857/483, 6200/805?
Answer: GCF of Numerators as per given numbers 7857/483, 6200/805 is
GCF of Numerators i.e. for 7857,6200 is 1
LCM of denominators i.e. for 483,805 is 2415.
Thus, GCF of Fractions is 1/2415.Finally, GCF of Fractions for 7857/483, 6200/805 is 1/2415.