Use our free GCF of Fractions Calculator tool to compute the GCF of 54/37, 111/41, 250/977 i.e 1/1482109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/37, 111/41, 250/977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/37,111/41,250/977
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 54/37,111/41,250/977, numerators are 54,111,250
Denominators are 37,41,977
The GCF of 54,111,250 is 1 .
LCM of 37,41,977 is 1482109.
The greatest common factor of 54/37,111/41,250/977 = [GCF of 54,111,250]/[LCM of 37,41,977]= 1/1482109
Therefore, the GCF of 54/37,111/41,250/977 is 1/1482109.
To find the highest common factor of 54,111,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 111 are 1, 3, 37, 111
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 54,111,250 is 1.
Lets's calculate GCF of 54,111,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 54,111,250 . The biggest common factor number is the GCF number.
So the greatest common factor 54,111,250 is 1.
Lets's calculate LCM of 37,41,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 1482109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482109
Therefore, the GCF of Fractions 54/37,111/41,250/977 is 1/1482109
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 37,41,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,41,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,41,977) x common factors =1 x 1 = 1
LCM(37,41,977) = ( 37 × 41 × 977 ) / 1
LCM(37,41,977) = 1482109 / 1
LCM(37,41,977) = 1482109
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,111,250?
The HCF of 54,111,250 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 54/37, 111/41, 250/977?
Answer: GCF of Numerators as per given numbers 54/37, 111/41, 250/977 is
GCF of Numerators i.e. for 54,111,250 is 1
LCM of denominators i.e. for 37,41,977 is 1482109.
Thus, GCF of Fractions is 1/1482109.Finally, GCF of Fractions for 54/37, 111/41, 250/977 is 1/1482109.