Use our free GCF of Fractions Calculator tool to compute the GCF of 203/639, 290/756 i.e 29/53676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/639, 290/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/639,290/756
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 203/639,290/756, numerators are 203,290
Denominators are 639,756
The GCF of 203,290 is 29 .
LCM of 639,756 is 53676.
The greatest common factor of 203/639,290/756 = [GCF of 203,290]/[LCM of 639,756]= 29/53676
Therefore, the GCF of 203/639,290/756 is 29/53676.
To find the highest common factor of 203,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 203 are 1, 7, 29, 203
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 203,290 is 29.
Lets's calculate GCF of 203,290
29 | 203, 290 |
7, 10 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 203,290 . The biggest common factor number is the GCF number.
So the greatest common factor 203,290 is 29.
Lets's calculate LCM of 639,756
3 | 639, 756 |
3 | 213, 252 |
71, 84 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 84 = 53676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/53676
Therefore, the GCF of Fractions 203/639,290/756 is 29/53676
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 639,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,756) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(639,756) x common factors =9 x 1 = 9
LCM(639,756) = ( 639 × 756 ) / 9
LCM(639,756) = 483084 / 9
LCM(639,756) = 53676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 203,290?
The HCF of 203,290 is 29
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 203/639, 290/756?
Answer: GCF of Numerators as per given numbers 203/639, 290/756 is
GCF of Numerators i.e. for 203,290 is 29
LCM of denominators i.e. for 639,756 is 53676.
Thus, GCF of Fractions is 29/53676.Finally, GCF of Fractions for 203/639, 290/756 is 29/53676.