GCF of 4210/771, 5819/5873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4210/771, 5819/5873 i.e 1/4528083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4210/771, 5819/5873.
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 4210/771,5819/5873?
Given fractions are 4210/771,5819/5873
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 4210/771,5819/5873, numerators are 4210,5819
Denominators are 771,5873
The GCF of 4210,5819 is 1 .
LCM of 771,5873 is 4528083.
The greatest common factor of 4210/771,5819/5873 = [GCF of 4210,5819]/[LCM of 771,5873]= 1/4528083
Therefore, the GCF of 4210/771,5819/5873 is 1/4528083.
To find the highest common factor of 4210,5819, we have to find the factors of both numbers and list the highest common factor.
The factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210
The factors of 5819 are 1, 11, 23, 253, 529, 5819
The HCF of 4210,5819 is 1.
Lets's calculate GCF of 4210,5819
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4210,5819 By Matching Biggest Common Factor Method
Now, list down the factors of 4210
:1,2,5,10,421,842,2105,4210
Now, list down the factors of 5819
:1,11,23,253,529,5819
Greatest Common Factor
We found the factors 4210,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,5819 is 1.
Lets's calculate LCM of 771,5873
Given numbers has no common factors except 1. So, there LCM is their product i.e 4528083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4528083
Therefore, the GCF of Fractions 4210/771,5819/5873 is 1/4528083
Least Common Multiple of 771,5873 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 771,5873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,5873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,5873) x common factors =1 x 1 = 1
LCM(771,5873) = ( 771 × 5873 ) / 1
LCM(771,5873) = 4528083 / 1
LCM(771,5873) = 4528083
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FAQs on GCF of Fractions of 4210/771, 5819/5873
1. What is the HCF of 4210,5819?
The HCF of 4210,5819 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 4210/771, 5819/5873?
Answer: GCF of Numerators as per given numbers 4210/771, 5819/5873 is
GCF of Numerators i.e. for 4210,5819 is 1
LCM of denominators i.e. for 771,5873 is 4528083.
Thus, GCF of Fractions is 1/4528083.Finally, GCF of Fractions for 4210/771, 5819/5873 is 1/4528083.