GCF of 3628/437, 1850/5723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3628/437, 1850/5723 i.e 2/2500951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3628/437, 1850/5723.
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 3628/437,1850/5723?
Given fractions are 3628/437,1850/5723
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 3628/437,1850/5723, numerators are 3628,1850
Denominators are 437,5723
The GCF of 3628,1850 is 2 .
LCM of 437,5723 is 2500951.
The greatest common factor of 3628/437,1850/5723 = [GCF of 3628,1850]/[LCM of 437,5723]= 2/2500951
Therefore, the GCF of 3628/437,1850/5723 is 2/2500951.
To find the highest common factor of 3628,1850, we have to find the factors of both numbers and list the highest common factor.
The factors of 3628 are 1, 2, 4, 907, 1814, 3628
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The HCF of 3628,1850 is 2.
Lets's calculate GCF of 3628,1850
| 2 | 3628, 1850 |
| 1814, 925 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3628,1850 By Matching Biggest Common Factor Method
Now, list down the factors of 3628
:1,2,4,907,1814,3628
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Greatest Common Factor
We found the factors 3628,1850 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,1850 is 2.
Lets's calculate LCM of 437,5723
Given numbers has no common factors except 1. So, there LCM is their product i.e 2500951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2500951
Therefore, the GCF of Fractions 3628/437,1850/5723 is 2/2500951
Least Common Multiple of 437,5723 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 437,5723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,5723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,5723) x common factors =1 x 1 = 1
LCM(437,5723) = ( 437 × 5723 ) / 1
LCM(437,5723) = 2500951 / 1
LCM(437,5723) = 2500951
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3628/437, 1850/5723
1. What is the HCF of 3628,1850?
The HCF of 3628,1850 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 3628/437, 1850/5723?
Answer: GCF of Numerators as per given numbers 3628/437, 1850/5723 is
GCF of Numerators i.e. for 3628,1850 is 2
LCM of denominators i.e. for 437,5723 is 2500951.
Thus, GCF of Fractions is 2/2500951.Finally, GCF of Fractions for 3628/437, 1850/5723 is 2/2500951.