GCF of 192/321, 898/833, 645/780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/321, 898/833, 645/780 i.e 1/69522180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/321, 898/833, 645/780.
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 192/321,898/833,645/780?
Given fractions are 192/321,898/833,645/780
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 192/321,898/833,645/780, numerators are 192,898,645
Denominators are 321,833,780
The GCF of 192,898,645 is 1 .
LCM of 321,833,780 is 69522180.
The greatest common factor of 192/321,898/833,645/780 = [GCF of 192,898,645]/[LCM of 321,833,780]= 1/69522180
Therefore, the GCF of 192/321,898/833,645/780 is 1/69522180.
To find the highest common factor of 192,898,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 898 are 1, 2, 449, 898
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 192,898,645 is 1.
Lets's calculate GCF of 192,898,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 192,898,645 By Matching Biggest Common Factor Method
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 192,898,645 . The biggest common factor number is the GCF number.
So the greatest common factor 192,898,645 is 1.
Lets's calculate LCM of 321,833,780
| 3 | 321, 833, 780 |
| 107, 833, 260 |
∴ So the LCM of the given numbers is 3 x 107 x 833 x 260 = 69522180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69522180
Therefore, the GCF of Fractions 192/321,898/833,645/780 is 1/69522180
Least Common Multiple of 321,833,780 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 321,833,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,833,780) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(321,833,780) x common factors =1 x 3 = 3
LCM(321,833,780) = ( 321 × 833 × 780 ) / 3
LCM(321,833,780) = 208566540 / 3
LCM(321,833,780) = 69522180
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 192/321, 898/833, 645/780
1. What is the HCF of 192,898,645?
The HCF of 192,898,645 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 192/321, 898/833, 645/780?
Answer: GCF of Numerators as per given numbers 192/321, 898/833, 645/780 is
GCF of Numerators i.e. for 192,898,645 is 1
LCM of denominators i.e. for 321,833,780 is 69522180.
Thus, GCF of Fractions is 1/69522180.Finally, GCF of Fractions for 192/321, 898/833, 645/780 is 1/69522180.