GCF of 8736/449, 3012/2092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8736/449, 3012/2092 i.e 12/939308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8736/449, 3012/2092.
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 8736/449,3012/2092?
Given fractions are 8736/449,3012/2092
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 8736/449,3012/2092, numerators are 8736,3012
Denominators are 449,2092
The GCF of 8736,3012 is 12 .
LCM of 449,2092 is 939308.
The greatest common factor of 8736/449,3012/2092 = [GCF of 8736,3012]/[LCM of 449,2092]= 12/939308
Therefore, the GCF of 8736/449,3012/2092 is 12/939308.
To find the highest common factor of 8736,3012, we have to find the factors of both numbers and list the highest common factor.
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736
The factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012
The HCF of 8736,3012 is 12.
Lets's calculate GCF of 8736,3012
| 2 | 8736, 3012 |
| 2 | 4368, 1506 |
| 3 | 2184, 753 |
| 728, 251 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8736,3012 By Matching Biggest Common Factor Method
Now, list down the factors of 8736
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Now, list down the factors of 3012
:1,2,3,4,6,12,251,502,753,1004,1506,3012
Greatest Common Factor
We found the factors 8736,3012 . The biggest common factor number is the GCF number.
So the greatest common factor 8736,3012 is 12.
Lets's calculate LCM of 449,2092
Given numbers has no common factors except 1. So, there LCM is their product i.e 939308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/939308
Therefore, the GCF of Fractions 8736/449,3012/2092 is 12/939308
Least Common Multiple of 449,2092 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 449,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,2092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,2092) x common factors =1 x 1 = 1
LCM(449,2092) = ( 449 × 2092 ) / 1
LCM(449,2092) = 939308 / 1
LCM(449,2092) = 939308
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8736/449, 3012/2092
1. What is the HCF of 8736,3012?
The HCF of 8736,3012 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 8736/449, 3012/2092?
Answer: GCF of Numerators as per given numbers 8736/449, 3012/2092 is
GCF of Numerators i.e. for 8736,3012 is 12
LCM of denominators i.e. for 449,2092 is 939308.
Thus, GCF of Fractions is 12/939308.Finally, GCF of Fractions for 8736/449, 3012/2092 is 12/939308.