Use our free GCF of Fractions Calculator tool to compute the GCF of 6262/903, 9226/6239 i.e 2/5633817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/903, 9226/6239.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6262/903,9226/6239
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 6262/903,9226/6239, numerators are 6262,9226
Denominators are 903,6239
The GCF of 6262,9226 is 2 .
LCM of 903,6239 is 5633817.
The greatest common factor of 6262/903,9226/6239 = [GCF of 6262,9226]/[LCM of 903,6239]= 2/5633817
Therefore, the GCF of 6262/903,9226/6239 is 2/5633817.
To find the highest common factor of 6262,9226, 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 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226
The HCF of 6262,9226 is 2.
Lets's calculate GCF of 6262,9226
2 | 6262, 9226 |
3131, 4613 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Now, list down the factors of 9226
:1,2,7,14,659,1318,4613,9226
Greatest Common Factor
We found the factors 6262,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,9226 is 2.
Lets's calculate LCM of 903,6239
Given numbers has no common factors except 1. So, there LCM is their product i.e 5633817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5633817
Therefore, the GCF of Fractions 6262/903,9226/6239 is 2/5633817
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 903,6239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,6239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,6239) x common factors =1 x 1 = 1
LCM(903,6239) = ( 903 × 6239 ) / 1
LCM(903,6239) = 5633817 / 1
LCM(903,6239) = 5633817
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6262,9226?
The HCF of 6262,9226 is 2
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 6262/903, 9226/6239?
Answer: GCF of Numerators as per given numbers 6262/903, 9226/6239 is
GCF of Numerators i.e. for 6262,9226 is 2
LCM of denominators i.e. for 903,6239 is 5633817.
Thus, GCF of Fractions is 2/5633817.Finally, GCF of Fractions for 6262/903, 9226/6239 is 2/5633817.