Use our free GCF of Fractions Calculator tool to compute the GCF of 737/275, 974/880 i.e 1/4400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 737/275, 974/880.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 737/275,974/880
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 737/275,974/880, numerators are 737,974
Denominators are 275,880
The GCF of 737,974 is 1 .
LCM of 275,880 is 4400.
The greatest common factor of 737/275,974/880 = [GCF of 737,974]/[LCM of 275,880]= 1/4400
Therefore, the GCF of 737/275,974/880 is 1/4400.
To find the highest common factor of 737,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 737 are 1, 11, 67, 737
The factors of 974 are 1, 2, 487, 974
The HCF of 737,974 is 1.
Lets's calculate GCF of 737,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 737
:1,11,67,737
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 737,974 . The biggest common factor number is the GCF number.
So the greatest common factor 737,974 is 1.
Lets's calculate LCM of 275,880
5 | 275, 880 |
11 | 55, 176 |
5, 16 |
∴ So the LCM of the given numbers is 5 x 11 x 5 x 16 = 4400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4400
Therefore, the GCF of Fractions 737/275,974/880 is 1/4400
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 275,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,880) = 55
common factors(in case of two or more numbers have common factors) = 1
GCF(275,880) x common factors =55 x 1 = 55
LCM(275,880) = ( 275 × 880 ) / 55
LCM(275,880) = 242000 / 55
LCM(275,880) = 4400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 737,974?
The HCF of 737,974 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 737/275, 974/880?
Answer: GCF of Numerators as per given numbers 737/275, 974/880 is
GCF of Numerators i.e. for 737,974 is 1
LCM of denominators i.e. for 275,880 is 4400.
Thus, GCF of Fractions is 1/4400.Finally, GCF of Fractions for 737/275, 974/880 is 1/4400.