GCF of 2265/575, 8082/2987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2265/575, 8082/2987 i.e 3/1717525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2265/575, 8082/2987.
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 2265/575,8082/2987?
Given fractions are 2265/575,8082/2987
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 2265/575,8082/2987, numerators are 2265,8082
Denominators are 575,2987
The GCF of 2265,8082 is 3 .
LCM of 575,2987 is 1717525.
The greatest common factor of 2265/575,8082/2987 = [GCF of 2265,8082]/[LCM of 575,2987]= 3/1717525
Therefore, the GCF of 2265/575,8082/2987 is 3/1717525.
To find the highest common factor of 2265,8082, we have to find the factors of both numbers and list the highest common factor.
The factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265
The factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082
The HCF of 2265,8082 is 3.
Lets's calculate GCF of 2265,8082
| 3 | 2265, 8082 |
| 755, 2694 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2265,8082 By Matching Biggest Common Factor Method
Now, list down the factors of 2265
:1,3,5,15,151,453,755,2265
Now, list down the factors of 8082
:1,2,3,6,9,18,449,898,1347,2694,4041,8082
Greatest Common Factor
We found the factors 2265,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 2265,8082 is 3.
Lets's calculate LCM of 575,2987
Given numbers has no common factors except 1. So, there LCM is their product i.e 1717525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1717525
Therefore, the GCF of Fractions 2265/575,8082/2987 is 3/1717525
Least Common Multiple of 575,2987 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 575,2987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,2987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,2987) x common factors =1 x 1 = 1
LCM(575,2987) = ( 575 × 2987 ) / 1
LCM(575,2987) = 1717525 / 1
LCM(575,2987) = 1717525
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FAQs on GCF of Fractions of 2265/575, 8082/2987
1. What is the HCF of 2265,8082?
The HCF of 2265,8082 is 3
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 2265/575, 8082/2987?
Answer: GCF of Numerators as per given numbers 2265/575, 8082/2987 is
GCF of Numerators i.e. for 2265,8082 is 3
LCM of denominators i.e. for 575,2987 is 1717525.
Thus, GCF of Fractions is 3/1717525.Finally, GCF of Fractions for 2265/575, 8082/2987 is 3/1717525.