GCF of 6405/689, 5636/6859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6405/689, 5636/6859 i.e 1/4725851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6405/689, 5636/6859.
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 6405/689,5636/6859?
Given fractions are 6405/689,5636/6859
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 6405/689,5636/6859, numerators are 6405,5636
Denominators are 689,6859
The GCF of 6405,5636 is 1 .
LCM of 689,6859 is 4725851.
The greatest common factor of 6405/689,5636/6859 = [GCF of 6405,5636]/[LCM of 689,6859]= 1/4725851
Therefore, the GCF of 6405/689,5636/6859 is 1/4725851.
To find the highest common factor of 6405,5636, we have to find the factors of both numbers and list the highest common factor.
The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The factors of 5636 are 1, 2, 4, 1409, 2818, 5636
The HCF of 6405,5636 is 1.
Lets's calculate GCF of 6405,5636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6405,5636 By Matching Biggest Common Factor Method
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Now, list down the factors of 5636
:1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 6405,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 6405,5636 is 1.
Lets's calculate LCM of 689,6859
Given numbers has no common factors except 1. So, there LCM is their product i.e 4725851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4725851
Therefore, the GCF of Fractions 6405/689,5636/6859 is 1/4725851
Least Common Multiple of 689,6859 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 689,6859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,6859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,6859) x common factors =1 x 1 = 1
LCM(689,6859) = ( 689 × 6859 ) / 1
LCM(689,6859) = 4725851 / 1
LCM(689,6859) = 4725851
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FAQs on GCF of Fractions of 6405/689, 5636/6859
1. What is the HCF of 6405,5636?
The HCF of 6405,5636 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 6405/689, 5636/6859?
Answer: GCF of Numerators as per given numbers 6405/689, 5636/6859 is
GCF of Numerators i.e. for 6405,5636 is 1
LCM of denominators i.e. for 689,6859 is 4725851.
Thus, GCF of Fractions is 1/4725851.Finally, GCF of Fractions for 6405/689, 5636/6859 is 1/4725851.