GCF of 3193/768, 8788/9300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3193/768, 8788/9300 i.e 1/595200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3193/768, 8788/9300.
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 3193/768,8788/9300?
Given fractions are 3193/768,8788/9300
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 3193/768,8788/9300, numerators are 3193,8788
Denominators are 768,9300
The GCF of 3193,8788 is 1 .
LCM of 768,9300 is 595200.
The greatest common factor of 3193/768,8788/9300 = [GCF of 3193,8788]/[LCM of 768,9300]= 1/595200
Therefore, the GCF of 3193/768,8788/9300 is 1/595200.
To find the highest common factor of 3193,8788, we have to find the factors of both numbers and list the highest common factor.
The factors of 3193 are 1, 31, 103, 3193
The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788
The HCF of 3193,8788 is 1.
Lets's calculate GCF of 3193,8788
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3193,8788 By Matching Biggest Common Factor Method
Now, list down the factors of 3193
:1,31,103,3193
Now, list down the factors of 8788
:1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors 3193,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 3193,8788 is 1.
Lets's calculate LCM of 768,9300
| 2 | 768, 9300 |
| 2 | 384, 4650 |
| 3 | 192, 2325 |
| 64, 775 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 775 = 595200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595200
Therefore, the GCF of Fractions 3193/768,8788/9300 is 1/595200
Least Common Multiple of 768,9300 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 768,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9300) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9300) x common factors =12 x 1 = 12
LCM(768,9300) = ( 768 × 9300 ) / 12
LCM(768,9300) = 7142400 / 12
LCM(768,9300) = 595200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3193/768, 8788/9300
1. What is the HCF of 3193,8788?
The HCF of 3193,8788 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 3193/768, 8788/9300?
Answer: GCF of Numerators as per given numbers 3193/768, 8788/9300 is
GCF of Numerators i.e. for 3193,8788 is 1
LCM of denominators i.e. for 768,9300 is 595200.
Thus, GCF of Fractions is 1/595200.Finally, GCF of Fractions for 3193/768, 8788/9300 is 1/595200.