GCF of 2153/736, 2400/5122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2153/736, 2400/5122 i.e 1/1884896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2153/736, 2400/5122.
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 2153/736,2400/5122?
Given fractions are 2153/736,2400/5122
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 2153/736,2400/5122, numerators are 2153,2400
Denominators are 736,5122
The GCF of 2153,2400 is 1 .
LCM of 736,5122 is 1884896.
The greatest common factor of 2153/736,2400/5122 = [GCF of 2153,2400]/[LCM of 736,5122]= 1/1884896
Therefore, the GCF of 2153/736,2400/5122 is 1/1884896.
To find the highest common factor of 2153,2400, we have to find the factors of both numbers and list the highest common factor.
The factors of 2153 are 1, 2153
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The HCF of 2153,2400 is 1.
Lets's calculate GCF of 2153,2400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2153,2400 By Matching Biggest Common Factor Method
Now, list down the factors of 2153
:1,2153
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Greatest Common Factor
We found the factors 2153,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 2153,2400 is 1.
Lets's calculate LCM of 736,5122
| 2 | 736, 5122 |
| 368, 2561 |
∴ So the LCM of the given numbers is 2 x 368 x 2561 = 1884896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1884896
Therefore, the GCF of Fractions 2153/736,2400/5122 is 1/1884896
Least Common Multiple of 736,5122 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 736,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,5122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,5122) x common factors =2 x 1 = 2
LCM(736,5122) = ( 736 × 5122 ) / 2
LCM(736,5122) = 3769792 / 2
LCM(736,5122) = 1884896
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2153/736, 2400/5122
1. What is the HCF of 2153,2400?
The HCF of 2153,2400 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 2153/736, 2400/5122?
Answer: GCF of Numerators as per given numbers 2153/736, 2400/5122 is
GCF of Numerators i.e. for 2153,2400 is 1
LCM of denominators i.e. for 736,5122 is 1884896.
Thus, GCF of Fractions is 1/1884896.Finally, GCF of Fractions for 2153/736, 2400/5122 is 1/1884896.