GCF of 6843/894, 3201/7398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6843/894, 3201/7398 i.e 3/1102302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6843/894, 3201/7398.
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 6843/894,3201/7398?
Given fractions are 6843/894,3201/7398
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 6843/894,3201/7398, numerators are 6843,3201
Denominators are 894,7398
The GCF of 6843,3201 is 3 .
LCM of 894,7398 is 1102302.
The greatest common factor of 6843/894,3201/7398 = [GCF of 6843,3201]/[LCM of 894,7398]= 3/1102302
Therefore, the GCF of 6843/894,3201/7398 is 3/1102302.
To find the highest common factor of 6843,3201, we have to find the factors of both numbers and list the highest common factor.
The factors of 6843 are 1, 3, 2281, 6843
The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The HCF of 6843,3201 is 3.
Lets's calculate GCF of 6843,3201
| 3 | 6843, 3201 |
| 2281, 1067 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6843,3201 By Matching Biggest Common Factor Method
Now, list down the factors of 6843
:1,3,2281,6843
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 6843,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 6843,3201 is 3.
Lets's calculate LCM of 894,7398
| 2 | 894, 7398 |
| 3 | 447, 3699 |
| 149, 1233 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 1233 = 1102302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1102302
Therefore, the GCF of Fractions 6843/894,3201/7398 is 3/1102302
Least Common Multiple of 894,7398 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 894,7398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,7398) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,7398) x common factors =6 x 1 = 6
LCM(894,7398) = ( 894 × 7398 ) / 6
LCM(894,7398) = 6613812 / 6
LCM(894,7398) = 1102302
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FAQs on GCF of Fractions of 6843/894, 3201/7398
1. What is the HCF of 6843,3201?
The HCF of 6843,3201 is 3
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 6843/894, 3201/7398?
Answer: GCF of Numerators as per given numbers 6843/894, 3201/7398 is
GCF of Numerators i.e. for 6843,3201 is 3
LCM of denominators i.e. for 894,7398 is 1102302.
Thus, GCF of Fractions is 3/1102302.Finally, GCF of Fractions for 6843/894, 3201/7398 is 3/1102302.