GCF of 5828/403, 2820/3638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5828/403, 2820/3638 i.e 188/1466114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5828/403, 2820/3638.
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 5828/403,2820/3638?
Given fractions are 5828/403,2820/3638
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 5828/403,2820/3638, numerators are 5828,2820
Denominators are 403,3638
The GCF of 5828,2820 is 188 .
LCM of 403,3638 is 1466114.
The greatest common factor of 5828/403,2820/3638 = [GCF of 5828,2820]/[LCM of 403,3638]= 188/1466114
Therefore, the GCF of 5828/403,2820/3638 is 188/1466114.
To find the highest common factor of 5828,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 5828,2820 is 188.
Lets's calculate GCF of 5828,2820
| 2 | 5828, 2820 |
| 2 | 2914, 1410 |
| 47 | 1457, 705 |
| 31, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 47 = 188
Greatest Common Factor of 5828,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 5828
:1,2,4,31,47,62,94,124,188,1457,2914,5828
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 5828,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 5828,2820 is 188.
Lets's calculate LCM of 403,3638
Given numbers has no common factors except 1. So, there LCM is their product i.e 1466114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 188/1466114
Therefore, the GCF of Fractions 5828/403,2820/3638 is 188/1466114
Least Common Multiple of 403,3638 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 403,3638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,3638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,3638) x common factors =1 x 1 = 1
LCM(403,3638) = ( 403 × 3638 ) / 1
LCM(403,3638) = 1466114 / 1
LCM(403,3638) = 1466114
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FAQs on GCF of Fractions of 5828/403, 2820/3638
1. What is the HCF of 5828,2820?
The HCF of 5828,2820 is 188
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 5828/403, 2820/3638?
Answer: GCF of Numerators as per given numbers 5828/403, 2820/3638 is
GCF of Numerators i.e. for 5828,2820 is 188
LCM of denominators i.e. for 403,3638 is 1466114.
Thus, GCF of Fractions is 188/1466114.Finally, GCF of Fractions for 5828/403, 2820/3638 is 188/1466114.