GCF of 4124/649, 2644/2592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4124/649, 2644/2592 i.e 4/1682208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4124/649, 2644/2592.
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 4124/649,2644/2592?
Given fractions are 4124/649,2644/2592
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 4124/649,2644/2592, numerators are 4124,2644
Denominators are 649,2592
The GCF of 4124,2644 is 4 .
LCM of 649,2592 is 1682208.
The greatest common factor of 4124/649,2644/2592 = [GCF of 4124,2644]/[LCM of 649,2592]= 4/1682208
Therefore, the GCF of 4124/649,2644/2592 is 4/1682208.
To find the highest common factor of 4124,2644, we have to find the factors of both numbers and list the highest common factor.
The factors of 4124 are 1, 2, 4, 1031, 2062, 4124
The factors of 2644 are 1, 2, 4, 661, 1322, 2644
The HCF of 4124,2644 is 4.
Lets's calculate GCF of 4124,2644
| 2 | 4124, 2644 |
| 2 | 2062, 1322 |
| 1031, 661 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4124,2644 By Matching Biggest Common Factor Method
Now, list down the factors of 4124
:1,2,4,1031,2062,4124
Now, list down the factors of 2644
:1,2,4,661,1322,2644
Greatest Common Factor
We found the factors 4124,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 4124,2644 is 4.
Lets's calculate LCM of 649,2592
Given numbers has no common factors except 1. So, there LCM is their product i.e 1682208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1682208
Therefore, the GCF of Fractions 4124/649,2644/2592 is 4/1682208
Least Common Multiple of 649,2592 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 649,2592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2592) x common factors =1 x 1 = 1
LCM(649,2592) = ( 649 × 2592 ) / 1
LCM(649,2592) = 1682208 / 1
LCM(649,2592) = 1682208
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FAQs on GCF of Fractions of 4124/649, 2644/2592
1. What is the HCF of 4124,2644?
The HCF of 4124,2644 is 4
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 4124/649, 2644/2592?
Answer: GCF of Numerators as per given numbers 4124/649, 2644/2592 is
GCF of Numerators i.e. for 4124,2644 is 4
LCM of denominators i.e. for 649,2592 is 1682208.
Thus, GCF of Fractions is 4/1682208.Finally, GCF of Fractions for 4124/649, 2644/2592 is 4/1682208.