GCF of 2066/817, 7067/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2066/817, 7067/584 i.e 1/477128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2066/817, 7067/584.
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 2066/817,7067/584?
Given fractions are 2066/817,7067/584
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 2066/817,7067/584, numerators are 2066,7067
Denominators are 817,584
The GCF of 2066,7067 is 1 .
LCM of 817,584 is 477128.
The greatest common factor of 2066/817,7067/584 = [GCF of 2066,7067]/[LCM of 817,584]= 1/477128
Therefore, the GCF of 2066/817,7067/584 is 1/477128.
To find the highest common factor of 2066,7067, we have to find the factors of both numbers and list the highest common factor.
The factors of 2066 are 1, 2, 1033, 2066
The factors of 7067 are 1, 37, 191, 7067
The HCF of 2066,7067 is 1.
Lets's calculate GCF of 2066,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2066,7067 By Matching Biggest Common Factor Method
Now, list down the factors of 2066
:1,2,1033,2066
Now, list down the factors of 7067
:1,37,191,7067
Greatest Common Factor
We found the factors 2066,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 2066,7067 is 1.
Lets's calculate LCM of 817,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 477128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477128
Therefore, the GCF of Fractions 2066/817,7067/584 is 1/477128
Least Common Multiple of 817,584 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 817,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,584) x common factors =1 x 1 = 1
LCM(817,584) = ( 817 × 584 ) / 1
LCM(817,584) = 477128 / 1
LCM(817,584) = 477128
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FAQs on GCF of Fractions of 2066/817, 7067/584
1. What is the HCF of 2066,7067?
The HCF of 2066,7067 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 2066/817, 7067/584?
Answer: GCF of Numerators as per given numbers 2066/817, 7067/584 is
GCF of Numerators i.e. for 2066,7067 is 1
LCM of denominators i.e. for 817,584 is 477128.
Thus, GCF of Fractions is 1/477128.Finally, GCF of Fractions for 2066/817, 7067/584 is 1/477128.