GCF of 9576/672, 2028/1524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9576/672, 2028/1524 i.e 12/85344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9576/672, 2028/1524.
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 9576/672,2028/1524?
Given fractions are 9576/672,2028/1524
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 9576/672,2028/1524, numerators are 9576,2028
Denominators are 672,1524
The GCF of 9576,2028 is 12 .
LCM of 672,1524 is 85344.
The greatest common factor of 9576/672,2028/1524 = [GCF of 9576,2028]/[LCM of 672,1524]= 12/85344
Therefore, the GCF of 9576/672,2028/1524 is 12/85344.
To find the highest common factor of 9576,2028, we have to find the factors of both numbers and list the highest common factor.
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
The HCF of 9576,2028 is 12.
Lets's calculate GCF of 9576,2028
| 2 | 9576, 2028 |
| 2 | 4788, 1014 |
| 3 | 2394, 507 |
| 798, 169 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9576,2028 By Matching Biggest Common Factor Method
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Now, list down the factors of 2028
:1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028
Greatest Common Factor
We found the factors 9576,2028 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,2028 is 12.
Lets's calculate LCM of 672,1524
| 2 | 672, 1524 |
| 2 | 336, 762 |
| 3 | 168, 381 |
| 56, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 56 x 127 = 85344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/85344
Therefore, the GCF of Fractions 9576/672,2028/1524 is 12/85344
Least Common Multiple of 672,1524 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 672,1524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,1524) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(672,1524) x common factors =12 x 1 = 12
LCM(672,1524) = ( 672 × 1524 ) / 12
LCM(672,1524) = 1024128 / 12
LCM(672,1524) = 85344
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FAQs on GCF of Fractions of 9576/672, 2028/1524
1. What is the HCF of 9576,2028?
The HCF of 9576,2028 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 9576/672, 2028/1524?
Answer: GCF of Numerators as per given numbers 9576/672, 2028/1524 is
GCF of Numerators i.e. for 9576,2028 is 12
LCM of denominators i.e. for 672,1524 is 85344.
Thus, GCF of Fractions is 12/85344.Finally, GCF of Fractions for 9576/672, 2028/1524 is 12/85344.