GCF of 6576/153, 7272/5694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6576/153, 7272/5694 i.e 24/290394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6576/153, 7272/5694.
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 6576/153,7272/5694?
Given fractions are 6576/153,7272/5694
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 6576/153,7272/5694, numerators are 6576,7272
Denominators are 153,5694
The GCF of 6576,7272 is 24 .
LCM of 153,5694 is 290394.
The greatest common factor of 6576/153,7272/5694 = [GCF of 6576,7272]/[LCM of 153,5694]= 24/290394
Therefore, the GCF of 6576/153,7272/5694 is 24/290394.
To find the highest common factor of 6576,7272, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272
The HCF of 6576,7272 is 24.
Lets's calculate GCF of 6576,7272
| 2 | 6576, 7272 |
| 2 | 3288, 3636 |
| 2 | 1644, 1818 |
| 3 | 822, 909 |
| 274, 303 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6576,7272 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7272
:1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Greatest Common Factor
We found the factors 6576,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 6576,7272 is 24.
Lets's calculate LCM of 153,5694
| 3 | 153, 5694 |
| 51, 1898 |
∴ So the LCM of the given numbers is 3 x 51 x 1898 = 290394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/290394
Therefore, the GCF of Fractions 6576/153,7272/5694 is 24/290394
Least Common Multiple of 153,5694 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 153,5694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,5694) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,5694) x common factors =3 x 1 = 3
LCM(153,5694) = ( 153 × 5694 ) / 3
LCM(153,5694) = 871182 / 3
LCM(153,5694) = 290394
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FAQs on GCF of Fractions of 6576/153, 7272/5694
1. What is the HCF of 6576,7272?
The HCF of 6576,7272 is 24
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 6576/153, 7272/5694?
Answer: GCF of Numerators as per given numbers 6576/153, 7272/5694 is
GCF of Numerators i.e. for 6576,7272 is 24
LCM of denominators i.e. for 153,5694 is 290394.
Thus, GCF of Fractions is 24/290394.Finally, GCF of Fractions for 6576/153, 7272/5694 is 24/290394.