Use our free GCF of Fractions Calculator tool to compute the GCF of 3299/436, 7099/1100 i.e 1/119900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3299/436, 7099/1100.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3299/436,7099/1100
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 3299/436,7099/1100, numerators are 3299,7099
Denominators are 436,1100
The GCF of 3299,7099 is 1 .
LCM of 436,1100 is 119900.
The greatest common factor of 3299/436,7099/1100 = [GCF of 3299,7099]/[LCM of 436,1100]= 1/119900
Therefore, the GCF of 3299/436,7099/1100 is 1/119900.
To find the highest common factor of 3299,7099, we have to find the factors of both numbers and list the highest common factor.
The factors of 3299 are 1, 3299
The factors of 7099 are 1, 31, 229, 7099
The HCF of 3299,7099 is 1.
Lets's calculate GCF of 3299,7099
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3299
:1,3299
Now, list down the factors of 7099
:1,31,229,7099
Greatest Common Factor
We found the factors 3299,7099 . The biggest common factor number is the GCF number.
So the greatest common factor 3299,7099 is 1.
Lets's calculate LCM of 436,1100
2 | 436, 1100 |
2 | 218, 550 |
109, 275 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 275 = 119900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119900
Therefore, the GCF of Fractions 3299/436,7099/1100 is 1/119900
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 436,1100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,1100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,1100) x common factors =4 x 1 = 4
LCM(436,1100) = ( 436 × 1100 ) / 4
LCM(436,1100) = 479600 / 4
LCM(436,1100) = 119900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3299,7099?
The HCF of 3299,7099 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 3299/436, 7099/1100?
Answer: GCF of Numerators as per given numbers 3299/436, 7099/1100 is
GCF of Numerators i.e. for 3299,7099 is 1
LCM of denominators i.e. for 436,1100 is 119900.
Thus, GCF of Fractions is 1/119900.Finally, GCF of Fractions for 3299/436, 7099/1100 is 1/119900.