GCF of 5368/431, 5834/2127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5368/431, 5834/2127 i.e 2/916737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5368/431, 5834/2127.
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 5368/431,5834/2127?
Given fractions are 5368/431,5834/2127
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 5368/431,5834/2127, numerators are 5368,5834
Denominators are 431,2127
The GCF of 5368,5834 is 2 .
LCM of 431,2127 is 916737.
The greatest common factor of 5368/431,5834/2127 = [GCF of 5368,5834]/[LCM of 431,2127]= 2/916737
Therefore, the GCF of 5368/431,5834/2127 is 2/916737.
To find the highest common factor of 5368,5834, we have to find the factors of both numbers and list the highest common factor.
The factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368
The factors of 5834 are 1, 2, 2917, 5834
The HCF of 5368,5834 is 2.
Lets's calculate GCF of 5368,5834
| 2 | 5368, 5834 |
| 2684, 2917 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5368,5834 By Matching Biggest Common Factor Method
Now, list down the factors of 5368
:1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368
Now, list down the factors of 5834
:1,2,2917,5834
Greatest Common Factor
We found the factors 5368,5834 . The biggest common factor number is the GCF number.
So the greatest common factor 5368,5834 is 2.
Lets's calculate LCM of 431,2127
Given numbers has no common factors except 1. So, there LCM is their product i.e 916737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/916737
Therefore, the GCF of Fractions 5368/431,5834/2127 is 2/916737
Least Common Multiple of 431,2127 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 431,2127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,2127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,2127) x common factors =1 x 1 = 1
LCM(431,2127) = ( 431 × 2127 ) / 1
LCM(431,2127) = 916737 / 1
LCM(431,2127) = 916737
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FAQs on GCF of Fractions of 5368/431, 5834/2127
1. What is the HCF of 5368,5834?
The HCF of 5368,5834 is 2
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 5368/431, 5834/2127?
Answer: GCF of Numerators as per given numbers 5368/431, 5834/2127 is
GCF of Numerators i.e. for 5368,5834 is 2
LCM of denominators i.e. for 431,2127 is 916737.
Thus, GCF of Fractions is 2/916737.Finally, GCF of Fractions for 5368/431, 5834/2127 is 2/916737.