GCF of 268/539, 6285/2588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 268/539, 6285/2588 i.e 1/1394932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/539, 6285/2588.
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 268/539,6285/2588?
Given fractions are 268/539,6285/2588
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 268/539,6285/2588, numerators are 268,6285
Denominators are 539,2588
The GCF of 268,6285 is 1 .
LCM of 539,2588 is 1394932.
The greatest common factor of 268/539,6285/2588 = [GCF of 268,6285]/[LCM of 539,2588]= 1/1394932
Therefore, the GCF of 268/539,6285/2588 is 1/1394932.
To find the highest common factor of 268,6285, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The HCF of 268,6285 is 1.
Lets's calculate GCF of 268,6285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 268,6285 By Matching Biggest Common Factor Method
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Greatest Common Factor
We found the factors 268,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 268,6285 is 1.
Lets's calculate LCM of 539,2588
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394932
Therefore, the GCF of Fractions 268/539,6285/2588 is 1/1394932
Least Common Multiple of 539,2588 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 539,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,2588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,2588) x common factors =1 x 1 = 1
LCM(539,2588) = ( 539 × 2588 ) / 1
LCM(539,2588) = 1394932 / 1
LCM(539,2588) = 1394932
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FAQs on GCF of Fractions of 268/539, 6285/2588
1. What is the HCF of 268,6285?
The HCF of 268,6285 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 268/539, 6285/2588?
Answer: GCF of Numerators as per given numbers 268/539, 6285/2588 is
GCF of Numerators i.e. for 268,6285 is 1
LCM of denominators i.e. for 539,2588 is 1394932.
Thus, GCF of Fractions is 1/1394932.Finally, GCF of Fractions for 268/539, 6285/2588 is 1/1394932.