GCF of 6403/509, 1012/7057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6403/509, 1012/7057 i.e 1/3592013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6403/509, 1012/7057.
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 6403/509,1012/7057?
Given fractions are 6403/509,1012/7057
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 6403/509,1012/7057, numerators are 6403,1012
Denominators are 509,7057
The GCF of 6403,1012 is 1 .
LCM of 509,7057 is 3592013.
The greatest common factor of 6403/509,1012/7057 = [GCF of 6403,1012]/[LCM of 509,7057]= 1/3592013
Therefore, the GCF of 6403/509,1012/7057 is 1/3592013.
To find the highest common factor of 6403,1012, we have to find the factors of both numbers and list the highest common factor.
The factors of 6403 are 1, 19, 337, 6403
The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012
The HCF of 6403,1012 is 1.
Lets's calculate GCF of 6403,1012
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6403,1012 By Matching Biggest Common Factor Method
Now, list down the factors of 6403
:1,19,337,6403
Now, list down the factors of 1012
:1,2,4,11,22,23,44,46,92,253,506,1012
Greatest Common Factor
We found the factors 6403,1012 . The biggest common factor number is the GCF number.
So the greatest common factor 6403,1012 is 1.
Lets's calculate LCM of 509,7057
Given numbers has no common factors except 1. So, there LCM is their product i.e 3592013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3592013
Therefore, the GCF of Fractions 6403/509,1012/7057 is 1/3592013
Least Common Multiple of 509,7057 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 509,7057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,7057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,7057) x common factors =1 x 1 = 1
LCM(509,7057) = ( 509 × 7057 ) / 1
LCM(509,7057) = 3592013 / 1
LCM(509,7057) = 3592013
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FAQs on GCF of Fractions of 6403/509, 1012/7057
1. What is the HCF of 6403,1012?
The HCF of 6403,1012 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 6403/509, 1012/7057?
Answer: GCF of Numerators as per given numbers 6403/509, 1012/7057 is
GCF of Numerators i.e. for 6403,1012 is 1
LCM of denominators i.e. for 509,7057 is 3592013.
Thus, GCF of Fractions is 1/3592013.Finally, GCF of Fractions for 6403/509, 1012/7057 is 1/3592013.