GCF of 2062/257, 4005/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2062/257, 4005/779 i.e 1/200203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2062/257, 4005/779.
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 2062/257,4005/779?
Given fractions are 2062/257,4005/779
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 2062/257,4005/779, numerators are 2062,4005
Denominators are 257,779
The GCF of 2062,4005 is 1 .
LCM of 257,779 is 200203.
The greatest common factor of 2062/257,4005/779 = [GCF of 2062,4005]/[LCM of 257,779]= 1/200203
Therefore, the GCF of 2062/257,4005/779 is 1/200203.
To find the highest common factor of 2062,4005, we have to find the factors of both numbers and list the highest common factor.
The factors of 2062 are 1, 2, 1031, 2062
The factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005
The HCF of 2062,4005 is 1.
Lets's calculate GCF of 2062,4005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2062,4005 By Matching Biggest Common Factor Method
Now, list down the factors of 2062
:1,2,1031,2062
Now, list down the factors of 4005
:1,3,5,9,15,45,89,267,445,801,1335,4005
Greatest Common Factor
We found the factors 2062,4005 . The biggest common factor number is the GCF number.
So the greatest common factor 2062,4005 is 1.
Lets's calculate LCM of 257,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 200203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200203
Therefore, the GCF of Fractions 2062/257,4005/779 is 1/200203
Least Common Multiple of 257,779 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 257,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,779) x common factors =1 x 1 = 1
LCM(257,779) = ( 257 × 779 ) / 1
LCM(257,779) = 200203 / 1
LCM(257,779) = 200203
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FAQs on GCF of Fractions of 2062/257, 4005/779
1. What is the HCF of 2062,4005?
The HCF of 2062,4005 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 2062/257, 4005/779?
Answer: GCF of Numerators as per given numbers 2062/257, 4005/779 is
GCF of Numerators i.e. for 2062,4005 is 1
LCM of denominators i.e. for 257,779 is 200203.
Thus, GCF of Fractions is 1/200203.Finally, GCF of Fractions for 2062/257, 4005/779 is 1/200203.