Use our free GCF of Fractions Calculator tool to compute the GCF of 37/57, 456/40, 146/891 i.e 1/677160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/57, 456/40, 146/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/57,456/40,146/891
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 37/57,456/40,146/891, numerators are 37,456,146
Denominators are 57,40,891
The GCF of 37,456,146 is 1 .
LCM of 57,40,891 is 677160.
The greatest common factor of 37/57,456/40,146/891 = [GCF of 37,456,146]/[LCM of 57,40,891]= 1/677160
Therefore, the GCF of 37/57,456/40,146/891 is 1/677160.
To find the highest common factor of 37,456,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The factors of 146 are 1, 2, 73, 146
The HCF of 37,456,146 is 1.
Lets's calculate GCF of 37,456,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 37,456,146 . The biggest common factor number is the GCF number.
So the greatest common factor 37,456,146 is 1.
Lets's calculate LCM of 57,40,891
3 | 57, 40, 891 |
19, 40, 297 |
∴ So the LCM of the given numbers is 3 x 19 x 40 x 297 = 677160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677160
Therefore, the GCF of Fractions 37/57,456/40,146/891 is 1/677160
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 57,40,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,40,891) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,40,891) x common factors =1 x 3 = 3
LCM(57,40,891) = ( 57 × 40 × 891 ) / 3
LCM(57,40,891) = 2031480 / 3
LCM(57,40,891) = 677160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,456,146?
The HCF of 37,456,146 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 37/57, 456/40, 146/891?
Answer: GCF of Numerators as per given numbers 37/57, 456/40, 146/891 is
GCF of Numerators i.e. for 37,456,146 is 1
LCM of denominators i.e. for 57,40,891 is 677160.
Thus, GCF of Fractions is 1/677160.Finally, GCF of Fractions for 37/57, 456/40, 146/891 is 1/677160.