Use our free GCF of Fractions Calculator tool to compute the GCF of 2158/737, 4233/7426 i.e 83/5472962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2158/737, 4233/7426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2158/737,4233/7426
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 2158/737,4233/7426, numerators are 2158,4233
Denominators are 737,7426
The GCF of 2158,4233 is 83 .
LCM of 737,7426 is 5472962.
The greatest common factor of 2158/737,4233/7426 = [GCF of 2158,4233]/[LCM of 737,7426]= 83/5472962
Therefore, the GCF of 2158/737,4233/7426 is 83/5472962.
To find the highest common factor of 2158,4233, we have to find the factors of both numbers and list the highest common factor.
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The HCF of 2158,4233 is 83.
Lets's calculate GCF of 2158,4233
83 | 2158, 4233 |
26, 51 |
∴ So the GCF of the given numbers is 83 = 83
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Greatest Common Factor
We found the factors 2158,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,4233 is 83.
Lets's calculate LCM of 737,7426
Given numbers has no common factors except 1. So, there LCM is their product i.e 5472962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/5472962
Therefore, the GCF of Fractions 2158/737,4233/7426 is 83/5472962
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 737,7426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,7426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,7426) x common factors =1 x 1 = 1
LCM(737,7426) = ( 737 × 7426 ) / 1
LCM(737,7426) = 5472962 / 1
LCM(737,7426) = 5472962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2158,4233?
The HCF of 2158,4233 is 83
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 2158/737, 4233/7426?
Answer: GCF of Numerators as per given numbers 2158/737, 4233/7426 is
GCF of Numerators i.e. for 2158,4233 is 83
LCM of denominators i.e. for 737,7426 is 5472962.
Thus, GCF of Fractions is 83/5472962.Finally, GCF of Fractions for 2158/737, 4233/7426 is 83/5472962.