GCF of 6012/564, 2208/2804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6012/564, 2208/2804 i.e 12/395364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6012/564, 2208/2804.
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 6012/564,2208/2804?
Given fractions are 6012/564,2208/2804
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 6012/564,2208/2804, numerators are 6012,2208
Denominators are 564,2804
The GCF of 6012,2208 is 12 .
LCM of 564,2804 is 395364.
The greatest common factor of 6012/564,2208/2804 = [GCF of 6012,2208]/[LCM of 564,2804]= 12/395364
Therefore, the GCF of 6012/564,2208/2804 is 12/395364.
To find the highest common factor of 6012,2208, we have to find the factors of both numbers and list the highest common factor.
The factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012
The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208
The HCF of 6012,2208 is 12.
Lets's calculate GCF of 6012,2208
| 2 | 6012, 2208 |
| 2 | 3006, 1104 |
| 3 | 1503, 552 |
| 501, 184 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6012,2208 By Matching Biggest Common Factor Method
Now, list down the factors of 6012
:1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012
Now, list down the factors of 2208
:1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208
Greatest Common Factor
We found the factors 6012,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 6012,2208 is 12.
Lets's calculate LCM of 564,2804
| 2 | 564, 2804 |
| 2 | 282, 1402 |
| 141, 701 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 701 = 395364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/395364
Therefore, the GCF of Fractions 6012/564,2208/2804 is 12/395364
Least Common Multiple of 564,2804 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 564,2804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2804) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2804) x common factors =4 x 1 = 4
LCM(564,2804) = ( 564 × 2804 ) / 4
LCM(564,2804) = 1581456 / 4
LCM(564,2804) = 395364
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FAQs on GCF of Fractions of 6012/564, 2208/2804
1. What is the HCF of 6012,2208?
The HCF of 6012,2208 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 6012/564, 2208/2804?
Answer: GCF of Numerators as per given numbers 6012/564, 2208/2804 is
GCF of Numerators i.e. for 6012,2208 is 12
LCM of denominators i.e. for 564,2804 is 395364.
Thus, GCF of Fractions is 12/395364.Finally, GCF of Fractions for 6012/564, 2208/2804 is 12/395364.