GCF of 2706/255, 5243/8240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2706/255, 5243/8240 i.e 1/420240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2706/255, 5243/8240.
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 2706/255,5243/8240?
Given fractions are 2706/255,5243/8240
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 2706/255,5243/8240, numerators are 2706,5243
Denominators are 255,8240
The GCF of 2706,5243 is 1 .
LCM of 255,8240 is 420240.
The greatest common factor of 2706/255,5243/8240 = [GCF of 2706,5243]/[LCM of 255,8240]= 1/420240
Therefore, the GCF of 2706/255,5243/8240 is 1/420240.
To find the highest common factor of 2706,5243, we have to find the factors of both numbers and list the highest common factor.
The factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706
The factors of 5243 are 1, 7, 49, 107, 749, 5243
The HCF of 2706,5243 is 1.
Lets's calculate GCF of 2706,5243
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2706,5243 By Matching Biggest Common Factor Method
Now, list down the factors of 2706
:1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706
Now, list down the factors of 5243
:1,7,49,107,749,5243
Greatest Common Factor
We found the factors 2706,5243 . The biggest common factor number is the GCF number.
So the greatest common factor 2706,5243 is 1.
Lets's calculate LCM of 255,8240
| 5 | 255, 8240 |
| 51, 1648 |
∴ So the LCM of the given numbers is 5 x 51 x 1648 = 420240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420240
Therefore, the GCF of Fractions 2706/255,5243/8240 is 1/420240
Least Common Multiple of 255,8240 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 255,8240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,8240) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(255,8240) x common factors =5 x 1 = 5
LCM(255,8240) = ( 255 × 8240 ) / 5
LCM(255,8240) = 2101200 / 5
LCM(255,8240) = 420240
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FAQs on GCF of Fractions of 2706/255, 5243/8240
1. What is the HCF of 2706,5243?
The HCF of 2706,5243 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 2706/255, 5243/8240?
Answer: GCF of Numerators as per given numbers 2706/255, 5243/8240 is
GCF of Numerators i.e. for 2706,5243 is 1
LCM of denominators i.e. for 255,8240 is 420240.
Thus, GCF of Fractions is 1/420240.Finally, GCF of Fractions for 2706/255, 5243/8240 is 1/420240.