GCF of 4200/23, 3781/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4200/23, 3781/711 i.e 1/16353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4200/23, 3781/711.
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 4200/23,3781/711?
Given fractions are 4200/23,3781/711
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 4200/23,3781/711, numerators are 4200,3781
Denominators are 23,711
The GCF of 4200,3781 is 1 .
LCM of 23,711 is 16353.
The greatest common factor of 4200/23,3781/711 = [GCF of 4200,3781]/[LCM of 23,711]= 1/16353
Therefore, the GCF of 4200/23,3781/711 is 1/16353.
To find the highest common factor of 4200,3781, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3781 are 1, 19, 199, 3781
The HCF of 4200,3781 is 1.
Lets's calculate GCF of 4200,3781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4200,3781 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3781
:1,19,199,3781
Greatest Common Factor
We found the factors 4200,3781 . The biggest common factor number is the GCF number.
So the greatest common factor 4200,3781 is 1.
Lets's calculate LCM of 23,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 16353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16353
Therefore, the GCF of Fractions 4200/23,3781/711 is 1/16353
Least Common Multiple of 23,711 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 23,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,711) x common factors =1 x 1 = 1
LCM(23,711) = ( 23 × 711 ) / 1
LCM(23,711) = 16353 / 1
LCM(23,711) = 16353
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FAQs on GCF of Fractions of 4200/23, 3781/711
1. What is the HCF of 4200,3781?
The HCF of 4200,3781 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 4200/23, 3781/711?
Answer: GCF of Numerators as per given numbers 4200/23, 3781/711 is
GCF of Numerators i.e. for 4200,3781 is 1
LCM of denominators i.e. for 23,711 is 16353.
Thus, GCF of Fractions is 1/16353.Finally, GCF of Fractions for 4200/23, 3781/711 is 1/16353.