GCF of 3/28, 81/96, 33/653, 619/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/28, 81/96, 33/653, 619/288 i.e 1/1316448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/28, 81/96, 33/653, 619/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3/28,81/96,33/653,619/288?
Given fractions are 3/28,81/96,33/653,619/288
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 3/28,81/96,33/653,619/288, numerators are 3,81,33,619
Denominators are 28,96,653,288
The GCF of 3,81,33,619 is 1 .
LCM of 28,96,653,288 is 1316448.
The greatest common factor of 3/28,81/96,33/653,619/288 = [GCF of 3,81,33,619]/[LCM of 28,96,653,288]= 1/1316448
Therefore, the GCF of 3/28,81/96,33/653,619/288 is 1/1316448.
To find the highest common factor of 3,81,33,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 81 are 1, 3, 9, 27, 81
The factors of 33 are 1, 3, 11, 33
The factors of 619 are 1, 619
The HCF of 3,81,33,619 is 1.
Lets's calculate GCF of 3,81,33,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3,81,33,619 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 3,81,33,619 . The biggest common factor number is the GCF number.
So the greatest common factor 3,81,33,619 is 1.
Lets's calculate LCM of 28,96,653,288
| 2 | 28, 96, 653, 288 |
| 2 | 14, 48, 653, 144 |
| 2 | 7, 24, 653, 72 |
| 2 | 7, 12, 653, 36 |
| 2 | 7, 6, 653, 18 |
| 3 | 7, 3, 653, 9 |
| 7, 1, 653, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 653 x 3 = 1316448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316448
Therefore, the GCF of Fractions 3/28,81/96,33/653,619/288 is 1/1316448
Least Common Multiple of 28,96,653,288 with GCF Formula
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 28,96,653,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,96,653,288) = 1
common factors(in case of two or more numbers have common factors) = 384
GCF(28,96,653,288) x common factors =1 x 384 = 384
LCM(28,96,653,288) = ( 28 × 96 × 653 × 288 ) / 384
LCM(28,96,653,288) = 505516032 / 384
LCM(28,96,653,288) = 1316448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3/28, 81/96, 33/653, 619/288
1. What is the HCF of 3,81,33,619?
The HCF of 3,81,33,619 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 3/28, 81/96, 33/653, 619/288?
Answer: GCF of Numerators as per given numbers 3/28, 81/96, 33/653, 619/288 is
GCF of Numerators i.e. for 3,81,33,619 is 1
LCM of denominators i.e. for 28,96,653,288 is 1316448.
Thus, GCF of Fractions is 1/1316448.Finally, GCF of Fractions for 3/28, 81/96, 33/653, 619/288 is 1/1316448.