Use our free GCF of Fractions Calculator tool to compute the GCF of 6262/863, 4131/6491 i.e 1/5601733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/863, 4131/6491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6262/863,4131/6491
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 6262/863,4131/6491, numerators are 6262,4131
Denominators are 863,6491
The GCF of 6262,4131 is 1 .
LCM of 863,6491 is 5601733.
The greatest common factor of 6262/863,4131/6491 = [GCF of 6262,4131]/[LCM of 863,6491]= 1/5601733
Therefore, the GCF of 6262/863,4131/6491 is 1/5601733.
To find the highest common factor of 6262,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 6262,4131 is 1.
Lets's calculate GCF of 6262,4131
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 6262,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,4131 is 1.
Lets's calculate LCM of 863,6491
Given numbers has no common factors except 1. So, there LCM is their product i.e 5601733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5601733
Therefore, the GCF of Fractions 6262/863,4131/6491 is 1/5601733
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 863,6491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,6491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,6491) x common factors =1 x 1 = 1
LCM(863,6491) = ( 863 × 6491 ) / 1
LCM(863,6491) = 5601733 / 1
LCM(863,6491) = 5601733
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6262,4131?
The HCF of 6262,4131 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 6262/863, 4131/6491?
Answer: GCF of Numerators as per given numbers 6262/863, 4131/6491 is
GCF of Numerators i.e. for 6262,4131 is 1
LCM of denominators i.e. for 863,6491 is 5601733.
Thus, GCF of Fractions is 1/5601733.Finally, GCF of Fractions for 6262/863, 4131/6491 is 1/5601733.