GCF of 403/894, 5200/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 403/894, 5200/642 i.e 13/95658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/894, 5200/642.
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 403/894,5200/642?
Given fractions are 403/894,5200/642
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 403/894,5200/642, numerators are 403,5200
Denominators are 894,642
The GCF of 403,5200 is 13 .
LCM of 894,642 is 95658.
The greatest common factor of 403/894,5200/642 = [GCF of 403,5200]/[LCM of 894,642]= 13/95658
Therefore, the GCF of 403/894,5200/642 is 13/95658.
To find the highest common factor of 403,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 403 are 1, 13, 31, 403
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 403,5200 is 13.
Lets's calculate GCF of 403,5200
| 13 | 403, 5200 |
| 31, 400 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 403,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 403
:1,13,31,403
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 403,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 403,5200 is 13.
Lets's calculate LCM of 894,642
| 2 | 894, 642 |
| 3 | 447, 321 |
| 149, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 107 = 95658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/95658
Therefore, the GCF of Fractions 403/894,5200/642 is 13/95658
Least Common Multiple of 894,642 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 894,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,642) x common factors =6 x 1 = 6
LCM(894,642) = ( 894 × 642 ) / 6
LCM(894,642) = 573948 / 6
LCM(894,642) = 95658
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 403/894, 5200/642
1. What is the HCF of 403,5200?
The HCF of 403,5200 is 13
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 403/894, 5200/642?
Answer: GCF of Numerators as per given numbers 403/894, 5200/642 is
GCF of Numerators i.e. for 403,5200 is 13
LCM of denominators i.e. for 894,642 is 95658.
Thus, GCF of Fractions is 13/95658.Finally, GCF of Fractions for 403/894, 5200/642 is 13/95658.