GCF of 3294/818, 3744/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3294/818, 3744/176 i.e 18/71984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3294/818, 3744/176.
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 3294/818,3744/176?
Given fractions are 3294/818,3744/176
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 3294/818,3744/176, numerators are 3294,3744
Denominators are 818,176
The GCF of 3294,3744 is 18 .
LCM of 818,176 is 71984.
The greatest common factor of 3294/818,3744/176 = [GCF of 3294,3744]/[LCM of 818,176]= 18/71984
Therefore, the GCF of 3294/818,3744/176 is 18/71984.
To find the highest common factor of 3294,3744, we have to find the factors of both numbers and list the highest common factor.
The factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
The HCF of 3294,3744 is 18.
Lets's calculate GCF of 3294,3744
| 2 | 3294, 3744 |
| 3 | 1647, 1872 |
| 3 | 549, 624 |
| 183, 208 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3294,3744 By Matching Biggest Common Factor Method
Now, list down the factors of 3294
:1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294
Now, list down the factors of 3744
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744
Greatest Common Factor
We found the factors 3294,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 3294,3744 is 18.
Lets's calculate LCM of 818,176
| 2 | 818, 176 |
| 409, 88 |
∴ So the LCM of the given numbers is 2 x 409 x 88 = 71984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/71984
Therefore, the GCF of Fractions 3294/818,3744/176 is 18/71984
Least Common Multiple of 818,176 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 818,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,176) x common factors =2 x 1 = 2
LCM(818,176) = ( 818 × 176 ) / 2
LCM(818,176) = 143968 / 2
LCM(818,176) = 71984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3294/818, 3744/176
1. What is the HCF of 3294,3744?
The HCF of 3294,3744 is 18
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 3294/818, 3744/176?
Answer: GCF of Numerators as per given numbers 3294/818, 3744/176 is
GCF of Numerators i.e. for 3294,3744 is 18
LCM of denominators i.e. for 818,176 is 71984.
Thus, GCF of Fractions is 18/71984.Finally, GCF of Fractions for 3294/818, 3744/176 is 18/71984.