GCF of 6215/507, 7036/3925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6215/507, 7036/3925 i.e 1/1989975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6215/507, 7036/3925.
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 6215/507,7036/3925?
Given fractions are 6215/507,7036/3925
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 6215/507,7036/3925, numerators are 6215,7036
Denominators are 507,3925
The GCF of 6215,7036 is 1 .
LCM of 507,3925 is 1989975.
The greatest common factor of 6215/507,7036/3925 = [GCF of 6215,7036]/[LCM of 507,3925]= 1/1989975
Therefore, the GCF of 6215/507,7036/3925 is 1/1989975.
To find the highest common factor of 6215,7036, we have to find the factors of both numbers and list the highest common factor.
The factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215
The factors of 7036 are 1, 2, 4, 1759, 3518, 7036
The HCF of 6215,7036 is 1.
Lets's calculate GCF of 6215,7036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6215,7036 By Matching Biggest Common Factor Method
Now, list down the factors of 6215
:1,5,11,55,113,565,1243,6215
Now, list down the factors of 7036
:1,2,4,1759,3518,7036
Greatest Common Factor
We found the factors 6215,7036 . The biggest common factor number is the GCF number.
So the greatest common factor 6215,7036 is 1.
Lets's calculate LCM of 507,3925
Given numbers has no common factors except 1. So, there LCM is their product i.e 1989975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1989975
Therefore, the GCF of Fractions 6215/507,7036/3925 is 1/1989975
Least Common Multiple of 507,3925 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 507,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,3925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,3925) x common factors =1 x 1 = 1
LCM(507,3925) = ( 507 × 3925 ) / 1
LCM(507,3925) = 1989975 / 1
LCM(507,3925) = 1989975
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FAQs on GCF of Fractions of 6215/507, 7036/3925
1. What is the HCF of 6215,7036?
The HCF of 6215,7036 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 6215/507, 7036/3925?
Answer: GCF of Numerators as per given numbers 6215/507, 7036/3925 is
GCF of Numerators i.e. for 6215,7036 is 1
LCM of denominators i.e. for 507,3925 is 1989975.
Thus, GCF of Fractions is 1/1989975.Finally, GCF of Fractions for 6215/507, 7036/3925 is 1/1989975.