GCF of 2856/564, 9228/1584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2856/564, 9228/1584 i.e 12/74448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2856/564, 9228/1584.
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 2856/564,9228/1584?
Given fractions are 2856/564,9228/1584
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 2856/564,9228/1584, numerators are 2856,9228
Denominators are 564,1584
The GCF of 2856,9228 is 12 .
LCM of 564,1584 is 74448.
The greatest common factor of 2856/564,9228/1584 = [GCF of 2856,9228]/[LCM of 564,1584]= 12/74448
Therefore, the GCF of 2856/564,9228/1584 is 12/74448.
To find the highest common factor of 2856,9228, we have to find the factors of both numbers and list the highest common factor.
The factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856
The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228
The HCF of 2856,9228 is 12.
Lets's calculate GCF of 2856,9228
| 2 | 2856, 9228 |
| 2 | 1428, 4614 |
| 3 | 714, 2307 |
| 238, 769 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2856,9228 By Matching Biggest Common Factor Method
Now, list down the factors of 2856
:1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Now, list down the factors of 9228
:1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Greatest Common Factor
We found the factors 2856,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,9228 is 12.
Lets's calculate LCM of 564,1584
| 2 | 564, 1584 |
| 2 | 282, 792 |
| 3 | 141, 396 |
| 47, 132 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 132 = 74448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/74448
Therefore, the GCF of Fractions 2856/564,9228/1584 is 12/74448
Least Common Multiple of 564,1584 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 564,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1584) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1584) x common factors =12 x 1 = 12
LCM(564,1584) = ( 564 × 1584 ) / 12
LCM(564,1584) = 893376 / 12
LCM(564,1584) = 74448
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FAQs on GCF of Fractions of 2856/564, 9228/1584
1. What is the HCF of 2856,9228?
The HCF of 2856,9228 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 2856/564, 9228/1584?
Answer: GCF of Numerators as per given numbers 2856/564, 9228/1584 is
GCF of Numerators i.e. for 2856,9228 is 12
LCM of denominators i.e. for 564,1584 is 74448.
Thus, GCF of Fractions is 12/74448.Finally, GCF of Fractions for 2856/564, 9228/1584 is 12/74448.