Use our free GCF of Fractions Calculator tool to compute the GCF of 28/228, 765/787, 198/617 i.e 1/110712012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/228, 765/787, 198/617.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/228,765/787,198/617
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 28/228,765/787,198/617, numerators are 28,765,198
Denominators are 228,787,617
The GCF of 28,765,198 is 1 .
LCM of 228,787,617 is 110712012.
The greatest common factor of 28/228,765/787,198/617 = [GCF of 28,765,198]/[LCM of 228,787,617]= 1/110712012
Therefore, the GCF of 28/228,765/787,198/617 is 1/110712012.
To find the highest common factor of 28,765,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 28,765,198 is 1.
Lets's calculate GCF of 28,765,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 28,765,198 . The biggest common factor number is the GCF number.
So the greatest common factor 28,765,198 is 1.
Lets's calculate LCM of 228,787,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 110712012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110712012
Therefore, the GCF of Fractions 28/228,765/787,198/617 is 1/110712012
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 228,787,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,787,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,787,617) x common factors =1 x 1 = 1
LCM(228,787,617) = ( 228 × 787 × 617 ) / 1
LCM(228,787,617) = 110712012 / 1
LCM(228,787,617) = 110712012
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,765,198?
The HCF of 28,765,198 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 28/228, 765/787, 198/617?
Answer: GCF of Numerators as per given numbers 28/228, 765/787, 198/617 is
GCF of Numerators i.e. for 28,765,198 is 1
LCM of denominators i.e. for 228,787,617 is 110712012.
Thus, GCF of Fractions is 1/110712012.Finally, GCF of Fractions for 28/228, 765/787, 198/617 is 1/110712012.