GCF of 2816/230, 2336/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2816/230, 2336/964 i.e 32/110860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2816/230, 2336/964.
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 2816/230,2336/964?
Given fractions are 2816/230,2336/964
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 2816/230,2336/964, numerators are 2816,2336
Denominators are 230,964
The GCF of 2816,2336 is 32 .
LCM of 230,964 is 110860.
The greatest common factor of 2816/230,2336/964 = [GCF of 2816,2336]/[LCM of 230,964]= 32/110860
Therefore, the GCF of 2816/230,2336/964 is 32/110860.
To find the highest common factor of 2816,2336, we have to find the factors of both numbers and list the highest common factor.
The factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816
The factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336
The HCF of 2816,2336 is 32.
Lets's calculate GCF of 2816,2336
| 2 | 2816, 2336 |
| 2 | 1408, 1168 |
| 2 | 704, 584 |
| 2 | 352, 292 |
| 2 | 176, 146 |
| 88, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 2816,2336 By Matching Biggest Common Factor Method
Now, list down the factors of 2816
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816
Now, list down the factors of 2336
:1,2,4,8,16,32,73,146,292,584,1168,2336
Greatest Common Factor
We found the factors 2816,2336 . The biggest common factor number is the GCF number.
So the greatest common factor 2816,2336 is 32.
Lets's calculate LCM of 230,964
| 2 | 230, 964 |
| 115, 482 |
∴ So the LCM of the given numbers is 2 x 115 x 482 = 110860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/110860
Therefore, the GCF of Fractions 2816/230,2336/964 is 32/110860
Least Common Multiple of 230,964 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 230,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,964) x common factors =2 x 1 = 2
LCM(230,964) = ( 230 × 964 ) / 2
LCM(230,964) = 221720 / 2
LCM(230,964) = 110860
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FAQs on GCF of Fractions of 2816/230, 2336/964
1. What is the HCF of 2816,2336?
The HCF of 2816,2336 is 32
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 2816/230, 2336/964?
Answer: GCF of Numerators as per given numbers 2816/230, 2336/964 is
GCF of Numerators i.e. for 2816,2336 is 32
LCM of denominators i.e. for 230,964 is 110860.
Thus, GCF of Fractions is 32/110860.Finally, GCF of Fractions for 2816/230, 2336/964 is 32/110860.