GCF of 2800/575, 7282/7005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2800/575, 7282/7005 i.e 2/805575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2800/575, 7282/7005.
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 2800/575,7282/7005?
Given fractions are 2800/575,7282/7005
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 2800/575,7282/7005, numerators are 2800,7282
Denominators are 575,7005
The GCF of 2800,7282 is 2 .
LCM of 575,7005 is 805575.
The greatest common factor of 2800/575,7282/7005 = [GCF of 2800,7282]/[LCM of 575,7005]= 2/805575
Therefore, the GCF of 2800/575,7282/7005 is 2/805575.
To find the highest common factor of 2800,7282, we have to find the factors of both numbers and list the highest common factor.
The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The HCF of 2800,7282 is 2.
Lets's calculate GCF of 2800,7282
| 2 | 2800, 7282 |
| 1400, 3641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2800,7282 By Matching Biggest Common Factor Method
Now, list down the factors of 2800
:1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 2800,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 2800,7282 is 2.
Lets's calculate LCM of 575,7005
| 5 | 575, 7005 |
| 115, 1401 |
∴ So the LCM of the given numbers is 5 x 115 x 1401 = 805575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/805575
Therefore, the GCF of Fractions 2800/575,7282/7005 is 2/805575
Least Common Multiple of 575,7005 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 575,7005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,7005) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(575,7005) x common factors =5 x 1 = 5
LCM(575,7005) = ( 575 × 7005 ) / 5
LCM(575,7005) = 4027875 / 5
LCM(575,7005) = 805575
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FAQs on GCF of Fractions of 2800/575, 7282/7005
1. What is the HCF of 2800,7282?
The HCF of 2800,7282 is 2
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 2800/575, 7282/7005?
Answer: GCF of Numerators as per given numbers 2800/575, 7282/7005 is
GCF of Numerators i.e. for 2800,7282 is 2
LCM of denominators i.e. for 575,7005 is 805575.
Thus, GCF of Fractions is 2/805575.Finally, GCF of Fractions for 2800/575, 7282/7005 is 2/805575.