GCF of 2640/329, 3068/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2640/329, 3068/798 i.e 4/37506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2640/329, 3068/798.
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 2640/329,3068/798?
Given fractions are 2640/329,3068/798
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 2640/329,3068/798, numerators are 2640,3068
Denominators are 329,798
The GCF of 2640,3068 is 4 .
LCM of 329,798 is 37506.
The greatest common factor of 2640/329,3068/798 = [GCF of 2640,3068]/[LCM of 329,798]= 4/37506
Therefore, the GCF of 2640/329,3068/798 is 4/37506.
To find the highest common factor of 2640,3068, we have to find the factors of both numbers and list the highest common factor.
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The factors of 3068 are 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068
The HCF of 2640,3068 is 4.
Lets's calculate GCF of 2640,3068
| 2 | 2640, 3068 |
| 2 | 1320, 1534 |
| 660, 767 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2640,3068 By Matching Biggest Common Factor Method
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Now, list down the factors of 3068
:1,2,4,13,26,52,59,118,236,767,1534,3068
Greatest Common Factor
We found the factors 2640,3068 . The biggest common factor number is the GCF number.
So the greatest common factor 2640,3068 is 4.
Lets's calculate LCM of 329,798
| 7 | 329, 798 |
| 47, 114 |
∴ So the LCM of the given numbers is 7 x 47 x 114 = 37506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/37506
Therefore, the GCF of Fractions 2640/329,3068/798 is 4/37506
Least Common Multiple of 329,798 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 329,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,798) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,798) x common factors =7 x 1 = 7
LCM(329,798) = ( 329 × 798 ) / 7
LCM(329,798) = 262542 / 7
LCM(329,798) = 37506
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2640/329, 3068/798
1. What is the HCF of 2640,3068?
The HCF of 2640,3068 is 4
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 2640/329, 3068/798?
Answer: GCF of Numerators as per given numbers 2640/329, 3068/798 is
GCF of Numerators i.e. for 2640,3068 is 4
LCM of denominators i.e. for 329,798 is 37506.
Thus, GCF of Fractions is 4/37506.Finally, GCF of Fractions for 2640/329, 3068/798 is 4/37506.