Use our free GCF of Fractions Calculator tool to compute the GCF of 55/57, 374/49, 154/923 i.e 11/2577939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/57, 374/49, 154/923.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/57,374/49,154/923
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 55/57,374/49,154/923, numerators are 55,374,154
Denominators are 57,49,923
The GCF of 55,374,154 is 11 .
LCM of 57,49,923 is 2577939.
The greatest common factor of 55/57,374/49,154/923 = [GCF of 55,374,154]/[LCM of 57,49,923]= 11/2577939
Therefore, the GCF of 55/57,374/49,154/923 is 11/2577939.
To find the highest common factor of 55,374,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 55,374,154 is 11.
Lets's calculate GCF of 55,374,154
11 | 55, 374, 154 |
5, 34, 14 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 55,374,154 . The biggest common factor number is the GCF number.
So the greatest common factor 55,374,154 is 11.
Lets's calculate LCM of 57,49,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 2577939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2577939
Therefore, the GCF of Fractions 55/57,374/49,154/923 is 11/2577939
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 57,49,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,49,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,49,923) x common factors =1 x 1 = 1
LCM(57,49,923) = ( 57 × 49 × 923 ) / 1
LCM(57,49,923) = 2577939 / 1
LCM(57,49,923) = 2577939
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,374,154?
The HCF of 55,374,154 is 11
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 55/57, 374/49, 154/923?
Answer: GCF of Numerators as per given numbers 55/57, 374/49, 154/923 is
GCF of Numerators i.e. for 55,374,154 is 11
LCM of denominators i.e. for 57,49,923 is 2577939.
Thus, GCF of Fractions is 11/2577939.Finally, GCF of Fractions for 55/57, 374/49, 154/923 is 11/2577939.