GCF of 6280/239, 8061/6406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6280/239, 8061/6406 i.e 1/1531034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6280/239, 8061/6406.
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 6280/239,8061/6406?
Given fractions are 6280/239,8061/6406
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 6280/239,8061/6406, numerators are 6280,8061
Denominators are 239,6406
The GCF of 6280,8061 is 1 .
LCM of 239,6406 is 1531034.
The greatest common factor of 6280/239,8061/6406 = [GCF of 6280,8061]/[LCM of 239,6406]= 1/1531034
Therefore, the GCF of 6280/239,8061/6406 is 1/1531034.
To find the highest common factor of 6280,8061, we have to find the factors of both numbers and list the highest common factor.
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The factors of 8061 are 1, 3, 2687, 8061
The HCF of 6280,8061 is 1.
Lets's calculate GCF of 6280,8061
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6280,8061 By Matching Biggest Common Factor Method
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Now, list down the factors of 8061
:1,3,2687,8061
Greatest Common Factor
We found the factors 6280,8061 . The biggest common factor number is the GCF number.
So the greatest common factor 6280,8061 is 1.
Lets's calculate LCM of 239,6406
Given numbers has no common factors except 1. So, there LCM is their product i.e 1531034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1531034
Therefore, the GCF of Fractions 6280/239,8061/6406 is 1/1531034
Least Common Multiple of 239,6406 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 239,6406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,6406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,6406) x common factors =1 x 1 = 1
LCM(239,6406) = ( 239 × 6406 ) / 1
LCM(239,6406) = 1531034 / 1
LCM(239,6406) = 1531034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6280/239, 8061/6406
1. What is the HCF of 6280,8061?
The HCF of 6280,8061 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 6280/239, 8061/6406?
Answer: GCF of Numerators as per given numbers 6280/239, 8061/6406 is
GCF of Numerators i.e. for 6280,8061 is 1
LCM of denominators i.e. for 239,6406 is 1531034.
Thus, GCF of Fractions is 1/1531034.Finally, GCF of Fractions for 6280/239, 8061/6406 is 1/1531034.