GCF of 2244/822, 2016/9076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2244/822, 2016/9076 i.e 12/3730236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/822, 2016/9076.
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 2244/822,2016/9076?
Given fractions are 2244/822,2016/9076
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 2244/822,2016/9076, numerators are 2244,2016
Denominators are 822,9076
The GCF of 2244,2016 is 12 .
LCM of 822,9076 is 3730236.
The greatest common factor of 2244/822,2016/9076 = [GCF of 2244,2016]/[LCM of 822,9076]= 12/3730236
Therefore, the GCF of 2244/822,2016/9076 is 12/3730236.
To find the highest common factor of 2244,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 2244,2016 is 12.
Lets's calculate GCF of 2244,2016
| 2 | 2244, 2016 |
| 2 | 1122, 1008 |
| 3 | 561, 504 |
| 187, 168 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2244,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 2244
:1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 2244,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,2016 is 12.
Lets's calculate LCM of 822,9076
| 2 | 822, 9076 |
| 411, 4538 |
∴ So the LCM of the given numbers is 2 x 411 x 4538 = 3730236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3730236
Therefore, the GCF of Fractions 2244/822,2016/9076 is 12/3730236
Least Common Multiple of 822,9076 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 822,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,9076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,9076) x common factors =2 x 1 = 2
LCM(822,9076) = ( 822 × 9076 ) / 2
LCM(822,9076) = 7460472 / 2
LCM(822,9076) = 3730236
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2244/822, 2016/9076
1. What is the HCF of 2244,2016?
The HCF of 2244,2016 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 2244/822, 2016/9076?
Answer: GCF of Numerators as per given numbers 2244/822, 2016/9076 is
GCF of Numerators i.e. for 2244,2016 is 12
LCM of denominators i.e. for 822,9076 is 3730236.
Thus, GCF of Fractions is 12/3730236.Finally, GCF of Fractions for 2244/822, 2016/9076 is 12/3730236.