GCF of 6794/507, 1045/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6794/507, 1045/643 i.e 1/326001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6794/507, 1045/643.
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 6794/507,1045/643?
Given fractions are 6794/507,1045/643
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 6794/507,1045/643, numerators are 6794,1045
Denominators are 507,643
The GCF of 6794,1045 is 1 .
LCM of 507,643 is 326001.
The greatest common factor of 6794/507,1045/643 = [GCF of 6794,1045]/[LCM of 507,643]= 1/326001
Therefore, the GCF of 6794/507,1045/643 is 1/326001.
To find the highest common factor of 6794,1045, we have to find the factors of both numbers and list the highest common factor.
The factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794
The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045
The HCF of 6794,1045 is 1.
Lets's calculate GCF of 6794,1045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6794,1045 By Matching Biggest Common Factor Method
Now, list down the factors of 6794
:1,2,43,79,86,158,3397,6794
Now, list down the factors of 1045
:1,5,11,19,55,95,209,1045
Greatest Common Factor
We found the factors 6794,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 6794,1045 is 1.
Lets's calculate LCM of 507,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 326001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326001
Therefore, the GCF of Fractions 6794/507,1045/643 is 1/326001
Least Common Multiple of 507,643 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 507,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,643) x common factors =1 x 1 = 1
LCM(507,643) = ( 507 × 643 ) / 1
LCM(507,643) = 326001 / 1
LCM(507,643) = 326001
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FAQs on GCF of Fractions of 6794/507, 1045/643
1. What is the HCF of 6794,1045?
The HCF of 6794,1045 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 6794/507, 1045/643?
Answer: GCF of Numerators as per given numbers 6794/507, 1045/643 is
GCF of Numerators i.e. for 6794,1045 is 1
LCM of denominators i.e. for 507,643 is 326001.
Thus, GCF of Fractions is 1/326001.Finally, GCF of Fractions for 6794/507, 1045/643 is 1/326001.