GCF of 2060/630, 4867/2823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2060/630, 4867/2823 i.e 1/592830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2060/630, 4867/2823.
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 2060/630,4867/2823?
Given fractions are 2060/630,4867/2823
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 2060/630,4867/2823, numerators are 2060,4867
Denominators are 630,2823
The GCF of 2060,4867 is 1 .
LCM of 630,2823 is 592830.
The greatest common factor of 2060/630,4867/2823 = [GCF of 2060,4867]/[LCM of 630,2823]= 1/592830
Therefore, the GCF of 2060/630,4867/2823 is 1/592830.
To find the highest common factor of 2060,4867, we have to find the factors of both numbers and list the highest common factor.
The factors of 2060 are 1, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060
The factors of 4867 are 1, 31, 157, 4867
The HCF of 2060,4867 is 1.
Lets's calculate GCF of 2060,4867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2060,4867 By Matching Biggest Common Factor Method
Now, list down the factors of 2060
:1,2,4,5,10,20,103,206,412,515,1030,2060
Now, list down the factors of 4867
:1,31,157,4867
Greatest Common Factor
We found the factors 2060,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 2060,4867 is 1.
Lets's calculate LCM of 630,2823
| 3 | 630, 2823 |
| 210, 941 |
∴ So the LCM of the given numbers is 3 x 210 x 941 = 592830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/592830
Therefore, the GCF of Fractions 2060/630,4867/2823 is 1/592830
Least Common Multiple of 630,2823 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 630,2823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,2823) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(630,2823) x common factors =3 x 1 = 3
LCM(630,2823) = ( 630 × 2823 ) / 3
LCM(630,2823) = 1778490 / 3
LCM(630,2823) = 592830
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FAQs on GCF of Fractions of 2060/630, 4867/2823
1. What is the HCF of 2060,4867?
The HCF of 2060,4867 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 2060/630, 4867/2823?
Answer: GCF of Numerators as per given numbers 2060/630, 4867/2823 is
GCF of Numerators i.e. for 2060,4867 is 1
LCM of denominators i.e. for 630,2823 is 592830.
Thus, GCF of Fractions is 1/592830.Finally, GCF of Fractions for 2060/630, 4867/2823 is 1/592830.