GCF of 6459/583, 6068/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6459/583, 6068/166 i.e 1/96778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6459/583, 6068/166.
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 6459/583,6068/166?
Given fractions are 6459/583,6068/166
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 6459/583,6068/166, numerators are 6459,6068
Denominators are 583,166
The GCF of 6459,6068 is 1 .
LCM of 583,166 is 96778.
The greatest common factor of 6459/583,6068/166 = [GCF of 6459,6068]/[LCM of 583,166]= 1/96778
Therefore, the GCF of 6459/583,6068/166 is 1/96778.
To find the highest common factor of 6459,6068, we have to find the factors of both numbers and list the highest common factor.
The factors of 6459 are 1, 3, 2153, 6459
The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
The HCF of 6459,6068 is 1.
Lets's calculate GCF of 6459,6068
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6459,6068 By Matching Biggest Common Factor Method
Now, list down the factors of 6459
:1,3,2153,6459
Now, list down the factors of 6068
:1,2,4,37,41,74,82,148,164,1517,3034,6068
Greatest Common Factor
We found the factors 6459,6068 . The biggest common factor number is the GCF number.
So the greatest common factor 6459,6068 is 1.
Lets's calculate LCM of 583,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 96778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96778
Therefore, the GCF of Fractions 6459/583,6068/166 is 1/96778
Least Common Multiple of 583,166 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 583,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,166) x common factors =1 x 1 = 1
LCM(583,166) = ( 583 × 166 ) / 1
LCM(583,166) = 96778 / 1
LCM(583,166) = 96778
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FAQs on GCF of Fractions of 6459/583, 6068/166
1. What is the HCF of 6459,6068?
The HCF of 6459,6068 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 6459/583, 6068/166?
Answer: GCF of Numerators as per given numbers 6459/583, 6068/166 is
GCF of Numerators i.e. for 6459,6068 is 1
LCM of denominators i.e. for 583,166 is 96778.
Thus, GCF of Fractions is 1/96778.Finally, GCF of Fractions for 6459/583, 6068/166 is 1/96778.