Use our free GCF of Fractions Calculator tool to compute the GCF of 772/927, 965/200 i.e 193/185400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/927, 965/200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/927,965/200
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 772/927,965/200, numerators are 772,965
Denominators are 927,200
The GCF of 772,965 is 193 .
LCM of 927,200 is 185400.
The greatest common factor of 772/927,965/200 = [GCF of 772,965]/[LCM of 927,200]= 193/185400
Therefore, the GCF of 772/927,965/200 is 193/185400.
To find the highest common factor of 772,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 965 are 1, 5, 193, 965
The HCF of 772,965 is 193.
Lets's calculate GCF of 772,965
193 | 772, 965 |
4, 5 |
∴ So the GCF of the given numbers is 193 = 193
Now, list down the factors of 772
:1,2,4,193,386,772
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 772,965 . The biggest common factor number is the GCF number.
So the greatest common factor 772,965 is 193.
Lets's calculate LCM of 927,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 185400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 193/185400
Therefore, the GCF of Fractions 772/927,965/200 is 193/185400
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 927,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,200) x common factors =1 x 1 = 1
LCM(927,200) = ( 927 × 200 ) / 1
LCM(927,200) = 185400 / 1
LCM(927,200) = 185400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,965?
The HCF of 772,965 is 193
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 772/927, 965/200?
Answer: GCF of Numerators as per given numbers 772/927, 965/200 is
GCF of Numerators i.e. for 772,965 is 193
LCM of denominators i.e. for 927,200 is 185400.
Thus, GCF of Fractions is 193/185400.Finally, GCF of Fractions for 772/927, 965/200 is 193/185400.