Use our free GCF of Fractions Calculator tool to compute the GCF of 35/57, 173/74, 572/111 i.e 1/4218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/57, 173/74, 572/111.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/57,173/74,572/111
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 35/57,173/74,572/111, numerators are 35,173,572
Denominators are 57,74,111
The GCF of 35,173,572 is 1 .
LCM of 57,74,111 is 4218.
The greatest common factor of 35/57,173/74,572/111 = [GCF of 35,173,572]/[LCM of 57,74,111]= 1/4218
Therefore, the GCF of 35/57,173/74,572/111 is 1/4218.
To find the highest common factor of 35,173,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 173 are 1, 173
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 35,173,572 is 1.
Lets's calculate GCF of 35,173,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 173
:1,173
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 35,173,572 . The biggest common factor number is the GCF number.
So the greatest common factor 35,173,572 is 1.
Lets's calculate LCM of 57,74,111
3 | 57, 74, 111 |
37 | 19, 74, 37 |
19, 2, 1 |
∴ So the LCM of the given numbers is 3 x 37 x 19 x 2 x 1 = 4218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4218
Therefore, the GCF of Fractions 35/57,173/74,572/111 is 1/4218
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 57,74,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,74,111) = 1
common factors(in case of two or more numbers have common factors) = 111
GCF(57,74,111) x common factors =1 x 111 = 111
LCM(57,74,111) = ( 57 × 74 × 111 ) / 111
LCM(57,74,111) = 468198 / 111
LCM(57,74,111) = 4218
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,173,572?
The HCF of 35,173,572 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 35/57, 173/74, 572/111?
Answer: GCF of Numerators as per given numbers 35/57, 173/74, 572/111 is
GCF of Numerators i.e. for 35,173,572 is 1
LCM of denominators i.e. for 57,74,111 is 4218.
Thus, GCF of Fractions is 1/4218.Finally, GCF of Fractions for 35/57, 173/74, 572/111 is 1/4218.