GCF of 2100/905, 2371/2826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2100/905, 2371/2826 i.e 1/2557530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2100/905, 2371/2826.
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 2100/905,2371/2826?
Given fractions are 2100/905,2371/2826
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 2100/905,2371/2826, numerators are 2100,2371
Denominators are 905,2826
The GCF of 2100,2371 is 1 .
LCM of 905,2826 is 2557530.
The greatest common factor of 2100/905,2371/2826 = [GCF of 2100,2371]/[LCM of 905,2826]= 1/2557530
Therefore, the GCF of 2100/905,2371/2826 is 1/2557530.
To find the highest common factor of 2100,2371, we have to find the factors of both numbers and list the highest common factor.
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The factors of 2371 are 1, 2371
The HCF of 2100,2371 is 1.
Lets's calculate GCF of 2100,2371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2100,2371 By Matching Biggest Common Factor Method
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Now, list down the factors of 2371
:1,2371
Greatest Common Factor
We found the factors 2100,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,2371 is 1.
Lets's calculate LCM of 905,2826
Given numbers has no common factors except 1. So, there LCM is their product i.e 2557530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2557530
Therefore, the GCF of Fractions 2100/905,2371/2826 is 1/2557530
Least Common Multiple of 905,2826 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 905,2826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,2826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,2826) x common factors =1 x 1 = 1
LCM(905,2826) = ( 905 × 2826 ) / 1
LCM(905,2826) = 2557530 / 1
LCM(905,2826) = 2557530
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FAQs on GCF of Fractions of 2100/905, 2371/2826
1. What is the HCF of 2100,2371?
The HCF of 2100,2371 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 2100/905, 2371/2826?
Answer: GCF of Numerators as per given numbers 2100/905, 2371/2826 is
GCF of Numerators i.e. for 2100,2371 is 1
LCM of denominators i.e. for 905,2826 is 2557530.
Thus, GCF of Fractions is 1/2557530.Finally, GCF of Fractions for 2100/905, 2371/2826 is 1/2557530.