Use our free GCF of Fractions Calculator tool to compute the GCF of 57/137, 897/585, 375/224 i.e 3/17952480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/137, 897/585, 375/224.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/137,897/585,375/224
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 57/137,897/585,375/224, numerators are 57,897,375
Denominators are 137,585,224
The GCF of 57,897,375 is 3 .
LCM of 137,585,224 is 17952480.
The greatest common factor of 57/137,897/585,375/224 = [GCF of 57,897,375]/[LCM of 137,585,224]= 3/17952480
Therefore, the GCF of 57/137,897/585,375/224 is 3/17952480.
To find the highest common factor of 57,897,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 57,897,375 is 3.
Lets's calculate GCF of 57,897,375
3 | 57, 897, 375 |
19, 299, 125 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 57,897,375 . The biggest common factor number is the GCF number.
So the greatest common factor 57,897,375 is 3.
Lets's calculate LCM of 137,585,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 17952480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17952480
Therefore, the GCF of Fractions 57/137,897/585,375/224 is 3/17952480
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 137,585,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,585,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,585,224) x common factors =1 x 1 = 1
LCM(137,585,224) = ( 137 × 585 × 224 ) / 1
LCM(137,585,224) = 17952480 / 1
LCM(137,585,224) = 17952480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 57,897,375?
The HCF of 57,897,375 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 57/137, 897/585, 375/224?
Answer: GCF of Numerators as per given numbers 57/137, 897/585, 375/224 is
GCF of Numerators i.e. for 57,897,375 is 3
LCM of denominators i.e. for 137,585,224 is 17952480.
Thus, GCF of Fractions is 3/17952480.Finally, GCF of Fractions for 57/137, 897/585, 375/224 is 3/17952480.