GCF of 2817/666, 4200/3137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2817/666, 4200/3137 i.e 3/2089242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2817/666, 4200/3137.
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 2817/666,4200/3137?
Given fractions are 2817/666,4200/3137
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 2817/666,4200/3137, numerators are 2817,4200
Denominators are 666,3137
The GCF of 2817,4200 is 3 .
LCM of 666,3137 is 2089242.
The greatest common factor of 2817/666,4200/3137 = [GCF of 2817,4200]/[LCM of 666,3137]= 3/2089242
Therefore, the GCF of 2817/666,4200/3137 is 3/2089242.
To find the highest common factor of 2817,4200, we have to find the factors of both numbers and list the highest common factor.
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200
The HCF of 2817,4200 is 3.
Lets's calculate GCF of 2817,4200
| 3 | 2817, 4200 |
| 939, 1400 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2817,4200 By Matching Biggest Common Factor Method
Now, list down the factors of 2817
:1,3,9,313,939,2817
Now, list down the factors of 4200
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200
Greatest Common Factor
We found the factors 2817,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,4200 is 3.
Lets's calculate LCM of 666,3137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2089242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2089242
Therefore, the GCF of Fractions 2817/666,4200/3137 is 3/2089242
Least Common Multiple of 666,3137 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 666,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,3137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,3137) x common factors =1 x 1 = 1
LCM(666,3137) = ( 666 × 3137 ) / 1
LCM(666,3137) = 2089242 / 1
LCM(666,3137) = 2089242
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FAQs on GCF of Fractions of 2817/666, 4200/3137
1. What is the HCF of 2817,4200?
The HCF of 2817,4200 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 2817/666, 4200/3137?
Answer: GCF of Numerators as per given numbers 2817/666, 4200/3137 is
GCF of Numerators i.e. for 2817,4200 is 3
LCM of denominators i.e. for 666,3137 is 2089242.
Thus, GCF of Fractions is 3/2089242.Finally, GCF of Fractions for 2817/666, 4200/3137 is 3/2089242.