GCF of 5168/586, 6944/2958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5168/586, 6944/2958 i.e 16/866694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5168/586, 6944/2958.
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 5168/586,6944/2958?
Given fractions are 5168/586,6944/2958
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 5168/586,6944/2958, numerators are 5168,6944
Denominators are 586,2958
The GCF of 5168,6944 is 16 .
LCM of 586,2958 is 866694.
The greatest common factor of 5168/586,6944/2958 = [GCF of 5168,6944]/[LCM of 586,2958]= 16/866694
Therefore, the GCF of 5168/586,6944/2958 is 16/866694.
To find the highest common factor of 5168,6944, we have to find the factors of both numbers and list the highest common factor.
The factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The HCF of 5168,6944 is 16.
Lets's calculate GCF of 5168,6944
| 2 | 5168, 6944 |
| 2 | 2584, 3472 |
| 2 | 1292, 1736 |
| 2 | 646, 868 |
| 323, 434 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5168,6944 By Matching Biggest Common Factor Method
Now, list down the factors of 5168
:1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 5168,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 5168,6944 is 16.
Lets's calculate LCM of 586,2958
| 2 | 586, 2958 |
| 293, 1479 |
∴ So the LCM of the given numbers is 2 x 293 x 1479 = 866694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/866694
Therefore, the GCF of Fractions 5168/586,6944/2958 is 16/866694
Least Common Multiple of 586,2958 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 586,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,2958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,2958) x common factors =2 x 1 = 2
LCM(586,2958) = ( 586 × 2958 ) / 2
LCM(586,2958) = 1733388 / 2
LCM(586,2958) = 866694
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FAQs on GCF of Fractions of 5168/586, 6944/2958
1. What is the HCF of 5168,6944?
The HCF of 5168,6944 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 5168/586, 6944/2958?
Answer: GCF of Numerators as per given numbers 5168/586, 6944/2958 is
GCF of Numerators i.e. for 5168,6944 is 16
LCM of denominators i.e. for 586,2958 is 866694.
Thus, GCF of Fractions is 16/866694.Finally, GCF of Fractions for 5168/586, 6944/2958 is 16/866694.