GCF of 2795/404, 5520/5883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2795/404, 5520/5883 i.e 5/2376732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2795/404, 5520/5883.
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 2795/404,5520/5883?
Given fractions are 2795/404,5520/5883
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 2795/404,5520/5883, numerators are 2795,5520
Denominators are 404,5883
The GCF of 2795,5520 is 5 .
LCM of 404,5883 is 2376732.
The greatest common factor of 2795/404,5520/5883 = [GCF of 2795,5520]/[LCM of 404,5883]= 5/2376732
Therefore, the GCF of 2795/404,5520/5883 is 5/2376732.
To find the highest common factor of 2795,5520, we have to find the factors of both numbers and list the highest common factor.
The factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The HCF of 2795,5520 is 5.
Lets's calculate GCF of 2795,5520
| 5 | 2795, 5520 |
| 559, 1104 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2795,5520 By Matching Biggest Common Factor Method
Now, list down the factors of 2795
:1,5,13,43,65,215,559,2795
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 2795,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 2795,5520 is 5.
Lets's calculate LCM of 404,5883
Given numbers has no common factors except 1. So, there LCM is their product i.e 2376732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2376732
Therefore, the GCF of Fractions 2795/404,5520/5883 is 5/2376732
Least Common Multiple of 404,5883 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 404,5883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,5883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,5883) x common factors =1 x 1 = 1
LCM(404,5883) = ( 404 × 5883 ) / 1
LCM(404,5883) = 2376732 / 1
LCM(404,5883) = 2376732
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FAQs on GCF of Fractions of 2795/404, 5520/5883
1. What is the HCF of 2795,5520?
The HCF of 2795,5520 is 5
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 2795/404, 5520/5883?
Answer: GCF of Numerators as per given numbers 2795/404, 5520/5883 is
GCF of Numerators i.e. for 2795,5520 is 5
LCM of denominators i.e. for 404,5883 is 2376732.
Thus, GCF of Fractions is 5/2376732.Finally, GCF of Fractions for 2795/404, 5520/5883 is 5/2376732.