GCF of 5797/966, 4000/4462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5797/966, 4000/4462 i.e 1/93702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5797/966, 4000/4462.
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 5797/966,4000/4462?
Given fractions are 5797/966,4000/4462
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 5797/966,4000/4462, numerators are 5797,4000
Denominators are 966,4462
The GCF of 5797,4000 is 1 .
LCM of 966,4462 is 93702.
The greatest common factor of 5797/966,4000/4462 = [GCF of 5797,4000]/[LCM of 966,4462]= 1/93702
Therefore, the GCF of 5797/966,4000/4462 is 1/93702.
To find the highest common factor of 5797,4000, we have to find the factors of both numbers and list the highest common factor.
The factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The HCF of 5797,4000 is 1.
Lets's calculate GCF of 5797,4000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5797,4000 By Matching Biggest Common Factor Method
Now, list down the factors of 5797
:1,11,17,31,187,341,527,5797
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Greatest Common Factor
We found the factors 5797,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 5797,4000 is 1.
Lets's calculate LCM of 966,4462
| 2 | 966, 4462 |
| 23 | 483, 2231 |
| 21, 97 |
∴ So the LCM of the given numbers is 2 x 23 x 21 x 97 = 93702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93702
Therefore, the GCF of Fractions 5797/966,4000/4462 is 1/93702
Least Common Multiple of 966,4462 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 966,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,4462) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(966,4462) x common factors =46 x 1 = 46
LCM(966,4462) = ( 966 × 4462 ) / 46
LCM(966,4462) = 4310292 / 46
LCM(966,4462) = 93702
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FAQs on GCF of Fractions of 5797/966, 4000/4462
1. What is the HCF of 5797,4000?
The HCF of 5797,4000 is 1
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 5797/966, 4000/4462?
Answer: GCF of Numerators as per given numbers 5797/966, 4000/4462 is
GCF of Numerators i.e. for 5797,4000 is 1
LCM of denominators i.e. for 966,4462 is 93702.
Thus, GCF of Fractions is 1/93702.Finally, GCF of Fractions for 5797/966, 4000/4462 is 1/93702.