Use our free GCF of Fractions Calculator tool to compute the GCF of 72/101, 57/188, 891/924 i.e 3/4386228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/101, 57/188, 891/924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/101,57/188,891/924
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 72/101,57/188,891/924, numerators are 72,57,891
Denominators are 101,188,924
The GCF of 72,57,891 is 3 .
LCM of 101,188,924 is 4386228.
The greatest common factor of 72/101,57/188,891/924 = [GCF of 72,57,891]/[LCM of 101,188,924]= 3/4386228
Therefore, the GCF of 72/101,57/188,891/924 is 3/4386228.
To find the highest common factor of 72,57,891, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 57 are 1, 3, 19, 57
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The HCF of 72,57,891 is 3.
Lets's calculate GCF of 72,57,891
3 | 72, 57, 891 |
24, 19, 297 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 72,57,891 . The biggest common factor number is the GCF number.
So the greatest common factor 72,57,891 is 3.
Lets's calculate LCM of 101,188,924
2 | 101, 188, 924 |
2 | 101, 94, 462 |
101, 47, 231 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 47 x 231 = 4386228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4386228
Therefore, the GCF of Fractions 72/101,57/188,891/924 is 3/4386228
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 101,188,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,188,924) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(101,188,924) x common factors =1 x 4 = 4
LCM(101,188,924) = ( 101 × 188 × 924 ) / 4
LCM(101,188,924) = 17544912 / 4
LCM(101,188,924) = 4386228
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,57,891?
The HCF of 72,57,891 is 3
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 72/101, 57/188, 891/924?
Answer: GCF of Numerators as per given numbers 72/101, 57/188, 891/924 is
GCF of Numerators i.e. for 72,57,891 is 3
LCM of denominators i.e. for 101,188,924 is 4386228.
Thus, GCF of Fractions is 3/4386228.Finally, GCF of Fractions for 72/101, 57/188, 891/924 is 3/4386228.