GCF of 2175/198, 6456/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2175/198, 6456/321 i.e 3/21186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2175/198, 6456/321.
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 2175/198,6456/321?
Given fractions are 2175/198,6456/321
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 2175/198,6456/321, numerators are 2175,6456
Denominators are 198,321
The GCF of 2175,6456 is 3 .
LCM of 198,321 is 21186.
The greatest common factor of 2175/198,6456/321 = [GCF of 2175,6456]/[LCM of 198,321]= 3/21186
Therefore, the GCF of 2175/198,6456/321 is 3/21186.
To find the highest common factor of 2175,6456, we have to find the factors of both numbers and list the highest common factor.
The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
The factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456
The HCF of 2175,6456 is 3.
Lets's calculate GCF of 2175,6456
| 3 | 2175, 6456 |
| 725, 2152 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2175,6456 By Matching Biggest Common Factor Method
Now, list down the factors of 2175
:1,3,5,15,25,29,75,87,145,435,725,2175
Now, list down the factors of 6456
:1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456
Greatest Common Factor
We found the factors 2175,6456 . The biggest common factor number is the GCF number.
So the greatest common factor 2175,6456 is 3.
Lets's calculate LCM of 198,321
| 3 | 198, 321 |
| 66, 107 |
∴ So the LCM of the given numbers is 3 x 66 x 107 = 21186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21186
Therefore, the GCF of Fractions 2175/198,6456/321 is 3/21186
Least Common Multiple of 198,321 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 198,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(198,321) x common factors =3 x 1 = 3
LCM(198,321) = ( 198 × 321 ) / 3
LCM(198,321) = 63558 / 3
LCM(198,321) = 21186
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2175/198, 6456/321
1. What is the HCF of 2175,6456?
The HCF of 2175,6456 is 3
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 2175/198, 6456/321?
Answer: GCF of Numerators as per given numbers 2175/198, 6456/321 is
GCF of Numerators i.e. for 2175,6456 is 3
LCM of denominators i.e. for 198,321 is 21186.
Thus, GCF of Fractions is 3/21186.Finally, GCF of Fractions for 2175/198, 6456/321 is 3/21186.