GCF of 5752/904, 4216/1990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5752/904, 4216/1990 i.e 8/899480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5752/904, 4216/1990.
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 5752/904,4216/1990?
Given fractions are 5752/904,4216/1990
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 5752/904,4216/1990, numerators are 5752,4216
Denominators are 904,1990
The GCF of 5752,4216 is 8 .
LCM of 904,1990 is 899480.
The greatest common factor of 5752/904,4216/1990 = [GCF of 5752,4216]/[LCM of 904,1990]= 8/899480
Therefore, the GCF of 5752/904,4216/1990 is 8/899480.
To find the highest common factor of 5752,4216, we have to find the factors of both numbers and list the highest common factor.
The factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The HCF of 5752,4216 is 8.
Lets's calculate GCF of 5752,4216
| 2 | 5752, 4216 |
| 2 | 2876, 2108 |
| 2 | 1438, 1054 |
| 719, 527 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5752,4216 By Matching Biggest Common Factor Method
Now, list down the factors of 5752
:1,2,4,8,719,1438,2876,5752
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Greatest Common Factor
We found the factors 5752,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 5752,4216 is 8.
Lets's calculate LCM of 904,1990
| 2 | 904, 1990 |
| 452, 995 |
∴ So the LCM of the given numbers is 2 x 452 x 995 = 899480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/899480
Therefore, the GCF of Fractions 5752/904,4216/1990 is 8/899480
Least Common Multiple of 904,1990 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 904,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,1990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,1990) x common factors =2 x 1 = 2
LCM(904,1990) = ( 904 × 1990 ) / 2
LCM(904,1990) = 1798960 / 2
LCM(904,1990) = 899480
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FAQs on GCF of Fractions of 5752/904, 4216/1990
1. What is the HCF of 5752,4216?
The HCF of 5752,4216 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 5752/904, 4216/1990?
Answer: GCF of Numerators as per given numbers 5752/904, 4216/1990 is
GCF of Numerators i.e. for 5752,4216 is 8
LCM of denominators i.e. for 904,1990 is 899480.
Thus, GCF of Fractions is 8/899480.Finally, GCF of Fractions for 5752/904, 4216/1990 is 8/899480.