GCF of 5888/387, 3696/4709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5888/387, 3696/4709 i.e 16/1822383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5888/387, 3696/4709.
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 5888/387,3696/4709?
Given fractions are 5888/387,3696/4709
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 5888/387,3696/4709, numerators are 5888,3696
Denominators are 387,4709
The GCF of 5888,3696 is 16 .
LCM of 387,4709 is 1822383.
The greatest common factor of 5888/387,3696/4709 = [GCF of 5888,3696]/[LCM of 387,4709]= 16/1822383
Therefore, the GCF of 5888/387,3696/4709 is 16/1822383.
To find the highest common factor of 5888,3696, we have to find the factors of both numbers and list the highest common factor.
The factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888
The factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696
The HCF of 5888,3696 is 16.
Lets's calculate GCF of 5888,3696
| 2 | 5888, 3696 |
| 2 | 2944, 1848 |
| 2 | 1472, 924 |
| 2 | 736, 462 |
| 368, 231 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5888,3696 By Matching Biggest Common Factor Method
Now, list down the factors of 5888
:1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Now, list down the factors of 3696
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696
Greatest Common Factor
We found the factors 5888,3696 . The biggest common factor number is the GCF number.
So the greatest common factor 5888,3696 is 16.
Lets's calculate LCM of 387,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1822383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1822383
Therefore, the GCF of Fractions 5888/387,3696/4709 is 16/1822383
Least Common Multiple of 387,4709 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 387,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,4709) x common factors =1 x 1 = 1
LCM(387,4709) = ( 387 × 4709 ) / 1
LCM(387,4709) = 1822383 / 1
LCM(387,4709) = 1822383
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FAQs on GCF of Fractions of 5888/387, 3696/4709
1. What is the HCF of 5888,3696?
The HCF of 5888,3696 is 16
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 5888/387, 3696/4709?
Answer: GCF of Numerators as per given numbers 5888/387, 3696/4709 is
GCF of Numerators i.e. for 5888,3696 is 16
LCM of denominators i.e. for 387,4709 is 1822383.
Thus, GCF of Fractions is 16/1822383.Finally, GCF of Fractions for 5888/387, 3696/4709 is 16/1822383.