Use our free GCF of Fractions Calculator tool to compute the GCF of 62/722, 28/417, 183/961 i.e 1/289332114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/722, 28/417, 183/961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/722,28/417,183/961
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 62/722,28/417,183/961, numerators are 62,28,183
Denominators are 722,417,961
The GCF of 62,28,183 is 1 .
LCM of 722,417,961 is 289332114.
The greatest common factor of 62/722,28/417,183/961 = [GCF of 62,28,183]/[LCM of 722,417,961]= 1/289332114
Therefore, the GCF of 62/722,28/417,183/961 is 1/289332114.
To find the highest common factor of 62,28,183, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 183 are 1, 3, 61, 183
The HCF of 62,28,183 is 1.
Lets's calculate GCF of 62,28,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 183
:1,3,61,183
Greatest Common Factor
We found the factors 62,28,183 . The biggest common factor number is the GCF number.
So the greatest common factor 62,28,183 is 1.
Lets's calculate LCM of 722,417,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 289332114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289332114
Therefore, the GCF of Fractions 62/722,28/417,183/961 is 1/289332114
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 722,417,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,417,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,417,961) x common factors =1 x 1 = 1
LCM(722,417,961) = ( 722 × 417 × 961 ) / 1
LCM(722,417,961) = 289332114 / 1
LCM(722,417,961) = 289332114
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,28,183?
The HCF of 62,28,183 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 62/722, 28/417, 183/961?
Answer: GCF of Numerators as per given numbers 62/722, 28/417, 183/961 is
GCF of Numerators i.e. for 62,28,183 is 1
LCM of denominators i.e. for 722,417,961 is 289332114.
Thus, GCF of Fractions is 1/289332114.Finally, GCF of Fractions for 62/722, 28/417, 183/961 is 1/289332114.