GCF of 5945/449, 6802/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5945/449, 6802/729 i.e 1/327321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5945/449, 6802/729.
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 5945/449,6802/729?
Given fractions are 5945/449,6802/729
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 5945/449,6802/729, numerators are 5945,6802
Denominators are 449,729
The GCF of 5945,6802 is 1 .
LCM of 449,729 is 327321.
The greatest common factor of 5945/449,6802/729 = [GCF of 5945,6802]/[LCM of 449,729]= 1/327321
Therefore, the GCF of 5945/449,6802/729 is 1/327321.
To find the highest common factor of 5945,6802, we have to find the factors of both numbers and list the highest common factor.
The factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945
The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802
The HCF of 5945,6802 is 1.
Lets's calculate GCF of 5945,6802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5945,6802 By Matching Biggest Common Factor Method
Now, list down the factors of 5945
:1,5,29,41,145,205,1189,5945
Now, list down the factors of 6802
:1,2,19,38,179,358,3401,6802
Greatest Common Factor
We found the factors 5945,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 5945,6802 is 1.
Lets's calculate LCM of 449,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 327321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327321
Therefore, the GCF of Fractions 5945/449,6802/729 is 1/327321
Least Common Multiple of 449,729 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 449,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,729) x common factors =1 x 1 = 1
LCM(449,729) = ( 449 × 729 ) / 1
LCM(449,729) = 327321 / 1
LCM(449,729) = 327321
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FAQs on GCF of Fractions of 5945/449, 6802/729
1. What is the HCF of 5945,6802?
The HCF of 5945,6802 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 5945/449, 6802/729?
Answer: GCF of Numerators as per given numbers 5945/449, 6802/729 is
GCF of Numerators i.e. for 5945,6802 is 1
LCM of denominators i.e. for 449,729 is 327321.
Thus, GCF of Fractions is 1/327321.Finally, GCF of Fractions for 5945/449, 6802/729 is 1/327321.