GCF of 5936/538, 3992/5210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5936/538, 3992/5210 i.e 8/1401490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5936/538, 3992/5210.
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 5936/538,3992/5210?
Given fractions are 5936/538,3992/5210
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 5936/538,3992/5210, numerators are 5936,3992
Denominators are 538,5210
The GCF of 5936,3992 is 8 .
LCM of 538,5210 is 1401490.
The greatest common factor of 5936/538,3992/5210 = [GCF of 5936,3992]/[LCM of 538,5210]= 8/1401490
Therefore, the GCF of 5936/538,3992/5210 is 8/1401490.
To find the highest common factor of 5936,3992, we have to find the factors of both numbers and list the highest common factor.
The factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The HCF of 5936,3992 is 8.
Lets's calculate GCF of 5936,3992
| 2 | 5936, 3992 |
| 2 | 2968, 1996 |
| 2 | 1484, 998 |
| 742, 499 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5936,3992 By Matching Biggest Common Factor Method
Now, list down the factors of 5936
:1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Greatest Common Factor
We found the factors 5936,3992 . The biggest common factor number is the GCF number.
So the greatest common factor 5936,3992 is 8.
Lets's calculate LCM of 538,5210
| 2 | 538, 5210 |
| 269, 2605 |
∴ So the LCM of the given numbers is 2 x 269 x 2605 = 1401490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1401490
Therefore, the GCF of Fractions 5936/538,3992/5210 is 8/1401490
Least Common Multiple of 538,5210 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 538,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,5210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,5210) x common factors =2 x 1 = 2
LCM(538,5210) = ( 538 × 5210 ) / 2
LCM(538,5210) = 2802980 / 2
LCM(538,5210) = 1401490
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FAQs on GCF of Fractions of 5936/538, 3992/5210
1. What is the HCF of 5936,3992?
The HCF of 5936,3992 is 8
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 5936/538, 3992/5210?
Answer: GCF of Numerators as per given numbers 5936/538, 3992/5210 is
GCF of Numerators i.e. for 5936,3992 is 8
LCM of denominators i.e. for 538,5210 is 1401490.
Thus, GCF of Fractions is 8/1401490.Finally, GCF of Fractions for 5936/538, 3992/5210 is 8/1401490.