GCF of 2427/511, 2576/1680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2427/511, 2576/1680 i.e 1/122640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2427/511, 2576/1680.
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 2427/511,2576/1680?
Given fractions are 2427/511,2576/1680
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 2427/511,2576/1680, numerators are 2427,2576
Denominators are 511,1680
The GCF of 2427,2576 is 1 .
LCM of 511,1680 is 122640.
The greatest common factor of 2427/511,2576/1680 = [GCF of 2427,2576]/[LCM of 511,1680]= 1/122640
Therefore, the GCF of 2427/511,2576/1680 is 1/122640.
To find the highest common factor of 2427,2576, we have to find the factors of both numbers and list the highest common factor.
The factors of 2427 are 1, 3, 809, 2427
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The HCF of 2427,2576 is 1.
Lets's calculate GCF of 2427,2576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2427,2576 By Matching Biggest Common Factor Method
Now, list down the factors of 2427
:1,3,809,2427
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Greatest Common Factor
We found the factors 2427,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 2427,2576 is 1.
Lets's calculate LCM of 511,1680
| 7 | 511, 1680 |
| 73, 240 |
∴ So the LCM of the given numbers is 7 x 73 x 240 = 122640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122640
Therefore, the GCF of Fractions 2427/511,2576/1680 is 1/122640
Least Common Multiple of 511,1680 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 511,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,1680) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(511,1680) x common factors =7 x 1 = 7
LCM(511,1680) = ( 511 × 1680 ) / 7
LCM(511,1680) = 858480 / 7
LCM(511,1680) = 122640
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FAQs on GCF of Fractions of 2427/511, 2576/1680
1. What is the HCF of 2427,2576?
The HCF of 2427,2576 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 2427/511, 2576/1680?
Answer: GCF of Numerators as per given numbers 2427/511, 2576/1680 is
GCF of Numerators i.e. for 2427,2576 is 1
LCM of denominators i.e. for 511,1680 is 122640.
Thus, GCF of Fractions is 1/122640.Finally, GCF of Fractions for 2427/511, 2576/1680 is 1/122640.