GCF of 6612/392, 6576/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6612/392, 6576/756 i.e 12/10584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6612/392, 6576/756.
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 6612/392,6576/756?
Given fractions are 6612/392,6576/756
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 6612/392,6576/756, numerators are 6612,6576
Denominators are 392,756
The GCF of 6612,6576 is 12 .
LCM of 392,756 is 10584.
The greatest common factor of 6612/392,6576/756 = [GCF of 6612,6576]/[LCM of 392,756]= 12/10584
Therefore, the GCF of 6612/392,6576/756 is 12/10584.
To find the highest common factor of 6612,6576, we have to find the factors of both numbers and list the highest common factor.
The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The HCF of 6612,6576 is 12.
Lets's calculate GCF of 6612,6576
| 2 | 6612, 6576 |
| 2 | 3306, 3288 |
| 3 | 1653, 1644 |
| 551, 548 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6612,6576 By Matching Biggest Common Factor Method
Now, list down the factors of 6612
:1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 6612,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 6612,6576 is 12.
Lets's calculate LCM of 392,756
| 2 | 392, 756 |
| 2 | 196, 378 |
| 7 | 98, 189 |
| 14, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 14 x 27 = 10584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10584
Therefore, the GCF of Fractions 6612/392,6576/756 is 12/10584
Least Common Multiple of 392,756 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 392,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,756) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(392,756) x common factors =28 x 1 = 28
LCM(392,756) = ( 392 × 756 ) / 28
LCM(392,756) = 296352 / 28
LCM(392,756) = 10584
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FAQs on GCF of Fractions of 6612/392, 6576/756
1. What is the HCF of 6612,6576?
The HCF of 6612,6576 is 12
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 6612/392, 6576/756?
Answer: GCF of Numerators as per given numbers 6612/392, 6576/756 is
GCF of Numerators i.e. for 6612,6576 is 12
LCM of denominators i.e. for 392,756 is 10584.
Thus, GCF of Fractions is 12/10584.Finally, GCF of Fractions for 6612/392, 6576/756 is 12/10584.