GCF of 7405/679, 6556/5692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7405/679, 6556/5692 i.e 1/3864868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7405/679, 6556/5692.
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 7405/679,6556/5692?
Given fractions are 7405/679,6556/5692
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 7405/679,6556/5692, numerators are 7405,6556
Denominators are 679,5692
The GCF of 7405,6556 is 1 .
LCM of 679,5692 is 3864868.
The greatest common factor of 7405/679,6556/5692 = [GCF of 7405,6556]/[LCM of 679,5692]= 1/3864868
Therefore, the GCF of 7405/679,6556/5692 is 1/3864868.
To find the highest common factor of 7405,6556, we have to find the factors of both numbers and list the highest common factor.
The factors of 7405 are 1, 5, 1481, 7405
The factors of 6556 are 1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556
The HCF of 7405,6556 is 1.
Lets's calculate GCF of 7405,6556
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7405,6556 By Matching Biggest Common Factor Method
Now, list down the factors of 7405
:1,5,1481,7405
Now, list down the factors of 6556
:1,2,4,11,22,44,149,298,596,1639,3278,6556
Greatest Common Factor
We found the factors 7405,6556 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,6556 is 1.
Lets's calculate LCM of 679,5692
Given numbers has no common factors except 1. So, there LCM is their product i.e 3864868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3864868
Therefore, the GCF of Fractions 7405/679,6556/5692 is 1/3864868
Least Common Multiple of 679,5692 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 679,5692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,5692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,5692) x common factors =1 x 1 = 1
LCM(679,5692) = ( 679 × 5692 ) / 1
LCM(679,5692) = 3864868 / 1
LCM(679,5692) = 3864868
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FAQs on GCF of Fractions of 7405/679, 6556/5692
1. What is the HCF of 7405,6556?
The HCF of 7405,6556 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 7405/679, 6556/5692?
Answer: GCF of Numerators as per given numbers 7405/679, 6556/5692 is
GCF of Numerators i.e. for 7405,6556 is 1
LCM of denominators i.e. for 679,5692 is 3864868.
Thus, GCF of Fractions is 1/3864868.Finally, GCF of Fractions for 7405/679, 6556/5692 is 1/3864868.