Use our free GCF of Fractions Calculator tool to compute the GCF of 69/203, 77/775, 555/198 i.e 1/31150350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/203, 77/775, 555/198.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/203,77/775,555/198
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 69/203,77/775,555/198, numerators are 69,77,555
Denominators are 203,775,198
The GCF of 69,77,555 is 1 .
LCM of 203,775,198 is 31150350.
The greatest common factor of 69/203,77/775,555/198 = [GCF of 69,77,555]/[LCM of 203,775,198]= 1/31150350
Therefore, the GCF of 69/203,77/775,555/198 is 1/31150350.
To find the highest common factor of 69,77,555, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 77 are 1, 7, 11, 77
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 69,77,555 is 1.
Lets's calculate GCF of 69,77,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 69,77,555 . The biggest common factor number is the GCF number.
So the greatest common factor 69,77,555 is 1.
Lets's calculate LCM of 203,775,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 31150350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31150350
Therefore, the GCF of Fractions 69/203,77/775,555/198 is 1/31150350
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 203,775,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,775,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,775,198) x common factors =1 x 1 = 1
LCM(203,775,198) = ( 203 × 775 × 198 ) / 1
LCM(203,775,198) = 31150350 / 1
LCM(203,775,198) = 31150350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,77,555?
The HCF of 69,77,555 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 69/203, 77/775, 555/198?
Answer: GCF of Numerators as per given numbers 69/203, 77/775, 555/198 is
GCF of Numerators i.e. for 69,77,555 is 1
LCM of denominators i.e. for 203,775,198 is 31150350.
Thus, GCF of Fractions is 1/31150350.Finally, GCF of Fractions for 69/203, 77/775, 555/198 is 1/31150350.