GCF of 2789/512, 3484/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2789/512, 3484/105 i.e 1/53760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2789/512, 3484/105.
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 2789/512,3484/105?
Given fractions are 2789/512,3484/105
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 2789/512,3484/105, numerators are 2789,3484
Denominators are 512,105
The GCF of 2789,3484 is 1 .
LCM of 512,105 is 53760.
The greatest common factor of 2789/512,3484/105 = [GCF of 2789,3484]/[LCM of 512,105]= 1/53760
Therefore, the GCF of 2789/512,3484/105 is 1/53760.
To find the highest common factor of 2789,3484, we have to find the factors of both numbers and list the highest common factor.
The factors of 2789 are 1, 2789
The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
The HCF of 2789,3484 is 1.
Lets's calculate GCF of 2789,3484
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2789,3484 By Matching Biggest Common Factor Method
Now, list down the factors of 2789
:1,2789
Now, list down the factors of 3484
:1,2,4,13,26,52,67,134,268,871,1742,3484
Greatest Common Factor
We found the factors 2789,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 2789,3484 is 1.
Lets's calculate LCM of 512,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 53760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53760
Therefore, the GCF of Fractions 2789/512,3484/105 is 1/53760
Least Common Multiple of 512,105 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 512,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,105) x common factors =1 x 1 = 1
LCM(512,105) = ( 512 × 105 ) / 1
LCM(512,105) = 53760 / 1
LCM(512,105) = 53760
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FAQs on GCF of Fractions of 2789/512, 3484/105
1. What is the HCF of 2789,3484?
The HCF of 2789,3484 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 2789/512, 3484/105?
Answer: GCF of Numerators as per given numbers 2789/512, 3484/105 is
GCF of Numerators i.e. for 2789,3484 is 1
LCM of denominators i.e. for 512,105 is 53760.
Thus, GCF of Fractions is 1/53760.Finally, GCF of Fractions for 2789/512, 3484/105 is 1/53760.