GCF of 6696/728, 2655/6514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6696/728, 2655/6514 i.e 9/2371096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6696/728, 2655/6514.
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 6696/728,2655/6514?
Given fractions are 6696/728,2655/6514
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 6696/728,2655/6514, numerators are 6696,2655
Denominators are 728,6514
The GCF of 6696,2655 is 9 .
LCM of 728,6514 is 2371096.
The greatest common factor of 6696/728,2655/6514 = [GCF of 6696,2655]/[LCM of 728,6514]= 9/2371096
Therefore, the GCF of 6696/728,2655/6514 is 9/2371096.
To find the highest common factor of 6696,2655, we have to find the factors of both numbers and list the highest common factor.
The factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696
The factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655
The HCF of 6696,2655 is 9.
Lets's calculate GCF of 6696,2655
| 3 | 6696, 2655 |
| 3 | 2232, 885 |
| 744, 295 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6696,2655 By Matching Biggest Common Factor Method
Now, list down the factors of 6696
:1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Now, list down the factors of 2655
:1,3,5,9,15,45,59,177,295,531,885,2655
Greatest Common Factor
We found the factors 6696,2655 . The biggest common factor number is the GCF number.
So the greatest common factor 6696,2655 is 9.
Lets's calculate LCM of 728,6514
| 2 | 728, 6514 |
| 364, 3257 |
∴ So the LCM of the given numbers is 2 x 364 x 3257 = 2371096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2371096
Therefore, the GCF of Fractions 6696/728,2655/6514 is 9/2371096
Least Common Multiple of 728,6514 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 728,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,6514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,6514) x common factors =2 x 1 = 2
LCM(728,6514) = ( 728 × 6514 ) / 2
LCM(728,6514) = 4742192 / 2
LCM(728,6514) = 2371096
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FAQs on GCF of Fractions of 6696/728, 2655/6514
1. What is the HCF of 6696,2655?
The HCF of 6696,2655 is 9
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 6696/728, 2655/6514?
Answer: GCF of Numerators as per given numbers 6696/728, 2655/6514 is
GCF of Numerators i.e. for 6696,2655 is 9
LCM of denominators i.e. for 728,6514 is 2371096.
Thus, GCF of Fractions is 9/2371096.Finally, GCF of Fractions for 6696/728, 2655/6514 is 9/2371096.