GCF of 5068/539, 1545/3171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5068/539, 1545/3171 i.e 1/244167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5068/539, 1545/3171.
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 5068/539,1545/3171?
Given fractions are 5068/539,1545/3171
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 5068/539,1545/3171, numerators are 5068,1545
Denominators are 539,3171
The GCF of 5068,1545 is 1 .
LCM of 539,3171 is 244167.
The greatest common factor of 5068/539,1545/3171 = [GCF of 5068,1545]/[LCM of 539,3171]= 1/244167
Therefore, the GCF of 5068/539,1545/3171 is 1/244167.
To find the highest common factor of 5068,1545, we have to find the factors of both numbers and list the highest common factor.
The factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068
The factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545
The HCF of 5068,1545 is 1.
Lets's calculate GCF of 5068,1545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5068,1545 By Matching Biggest Common Factor Method
Now, list down the factors of 5068
:1,2,4,7,14,28,181,362,724,1267,2534,5068
Now, list down the factors of 1545
:1,3,5,15,103,309,515,1545
Greatest Common Factor
We found the factors 5068,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 5068,1545 is 1.
Lets's calculate LCM of 539,3171
| 7 | 539, 3171 |
| 77, 453 |
∴ So the LCM of the given numbers is 7 x 77 x 453 = 244167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244167
Therefore, the GCF of Fractions 5068/539,1545/3171 is 1/244167
Least Common Multiple of 539,3171 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 539,3171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,3171) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,3171) x common factors =7 x 1 = 7
LCM(539,3171) = ( 539 × 3171 ) / 7
LCM(539,3171) = 1709169 / 7
LCM(539,3171) = 244167
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FAQs on GCF of Fractions of 5068/539, 1545/3171
1. What is the HCF of 5068,1545?
The HCF of 5068,1545 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 5068/539, 1545/3171?
Answer: GCF of Numerators as per given numbers 5068/539, 1545/3171 is
GCF of Numerators i.e. for 5068,1545 is 1
LCM of denominators i.e. for 539,3171 is 244167.
Thus, GCF of Fractions is 1/244167.Finally, GCF of Fractions for 5068/539, 1545/3171 is 1/244167.