Use our free GCF of Fractions Calculator tool to compute the GCF of 9/33, 74/92, 51/274, 119/588 i.e 1/20380668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/33, 74/92, 51/274, 119/588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/33,74/92,51/274,119/588
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 9/33,74/92,51/274,119/588, numerators are 9,74,51,119
Denominators are 33,92,274,588
The GCF of 9,74,51,119 is 1 .
LCM of 33,92,274,588 is 20380668.
The greatest common factor of 9/33,74/92,51/274,119/588 = [GCF of 9,74,51,119]/[LCM of 33,92,274,588]= 1/20380668
Therefore, the GCF of 9/33,74/92,51/274,119/588 is 1/20380668.
To find the highest common factor of 9,74,51,119, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 74 are 1, 2, 37, 74
The factors of 51 are 1, 3, 17, 51
The factors of 119 are 1, 7, 17, 119
The HCF of 9,74,51,119 is 1.
Lets's calculate GCF of 9,74,51,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 119
:1,7,17,119
Greatest Common Factor
We found the factors 9,74,51,119 . The biggest common factor number is the GCF number.
So the greatest common factor 9,74,51,119 is 1.
Lets's calculate LCM of 33,92,274,588
2 | 33, 92, 274, 588 |
2 | 33, 46, 137, 294 |
3 | 33, 23, 137, 147 |
11, 23, 137, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 23 x 137 x 49 = 20380668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20380668
Therefore, the GCF of Fractions 9/33,74/92,51/274,119/588 is 1/20380668
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 33,92,274,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,92,274,588) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(33,92,274,588) x common factors =1 x 24 = 24
LCM(33,92,274,588) = ( 33 × 92 × 274 × 588 ) / 24
LCM(33,92,274,588) = 489136032 / 24
LCM(33,92,274,588) = 20380668
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,74,51,119?
The HCF of 9,74,51,119 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 9/33, 74/92, 51/274, 119/588?
Answer: GCF of Numerators as per given numbers 9/33, 74/92, 51/274, 119/588 is
GCF of Numerators i.e. for 9,74,51,119 is 1
LCM of denominators i.e. for 33,92,274,588 is 20380668.
Thus, GCF of Fractions is 1/20380668.Finally, GCF of Fractions for 9/33, 74/92, 51/274, 119/588 is 1/20380668.