GCF of 2939/567, 3543/5385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2939/567, 3543/5385 i.e 1/1017765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2939/567, 3543/5385.
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 2939/567,3543/5385?
Given fractions are 2939/567,3543/5385
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 2939/567,3543/5385, numerators are 2939,3543
Denominators are 567,5385
The GCF of 2939,3543 is 1 .
LCM of 567,5385 is 1017765.
The greatest common factor of 2939/567,3543/5385 = [GCF of 2939,3543]/[LCM of 567,5385]= 1/1017765
Therefore, the GCF of 2939/567,3543/5385 is 1/1017765.
To find the highest common factor of 2939,3543, we have to find the factors of both numbers and list the highest common factor.
The factors of 2939 are 1, 2939
The factors of 3543 are 1, 3, 1181, 3543
The HCF of 2939,3543 is 1.
Lets's calculate GCF of 2939,3543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2939,3543 By Matching Biggest Common Factor Method
Now, list down the factors of 2939
:1,2939
Now, list down the factors of 3543
:1,3,1181,3543
Greatest Common Factor
We found the factors 2939,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 2939,3543 is 1.
Lets's calculate LCM of 567,5385
| 3 | 567, 5385 |
| 189, 1795 |
∴ So the LCM of the given numbers is 3 x 189 x 1795 = 1017765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1017765
Therefore, the GCF of Fractions 2939/567,3543/5385 is 1/1017765
Least Common Multiple of 567,5385 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 567,5385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,5385) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,5385) x common factors =3 x 1 = 3
LCM(567,5385) = ( 567 × 5385 ) / 3
LCM(567,5385) = 3053295 / 3
LCM(567,5385) = 1017765
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FAQs on GCF of Fractions of 2939/567, 3543/5385
1. What is the HCF of 2939,3543?
The HCF of 2939,3543 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 2939/567, 3543/5385?
Answer: GCF of Numerators as per given numbers 2939/567, 3543/5385 is
GCF of Numerators i.e. for 2939,3543 is 1
LCM of denominators i.e. for 567,5385 is 1017765.
Thus, GCF of Fractions is 1/1017765.Finally, GCF of Fractions for 2939/567, 3543/5385 is 1/1017765.