Use our free GCF of Fractions Calculator tool to compute the GCF of 3350/790, 1203/8218 i.e 1/3246110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3350/790, 1203/8218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3350/790,1203/8218
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 3350/790,1203/8218, numerators are 3350,1203
Denominators are 790,8218
The GCF of 3350,1203 is 1 .
LCM of 790,8218 is 3246110.
The greatest common factor of 3350/790,1203/8218 = [GCF of 3350,1203]/[LCM of 790,8218]= 1/3246110
Therefore, the GCF of 3350/790,1203/8218 is 1/3246110.
To find the highest common factor of 3350,1203, we have to find the factors of both numbers and list the highest common factor.
The factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350
The factors of 1203 are 1, 3, 401, 1203
The HCF of 3350,1203 is 1.
Lets's calculate GCF of 3350,1203
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3350
:1,2,5,10,25,50,67,134,335,670,1675,3350
Now, list down the factors of 1203
:1,3,401,1203
Greatest Common Factor
We found the factors 3350,1203 . The biggest common factor number is the GCF number.
So the greatest common factor 3350,1203 is 1.
Lets's calculate LCM of 790,8218
2 | 790, 8218 |
395, 4109 |
∴ So the LCM of the given numbers is 2 x 395 x 4109 = 3246110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3246110
Therefore, the GCF of Fractions 3350/790,1203/8218 is 1/3246110
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 790,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,8218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,8218) x common factors =2 x 1 = 2
LCM(790,8218) = ( 790 × 8218 ) / 2
LCM(790,8218) = 6492220 / 2
LCM(790,8218) = 3246110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3350,1203?
The HCF of 3350,1203 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 3350/790, 1203/8218?
Answer: GCF of Numerators as per given numbers 3350/790, 1203/8218 is
GCF of Numerators i.e. for 3350,1203 is 1
LCM of denominators i.e. for 790,8218 is 3246110.
Thus, GCF of Fractions is 1/3246110.Finally, GCF of Fractions for 3350/790, 1203/8218 is 1/3246110.