GCF of 6712/189, 5355/3924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6712/189, 5355/3924 i.e 1/82404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6712/189, 5355/3924.
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 6712/189,5355/3924?
Given fractions are 6712/189,5355/3924
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 6712/189,5355/3924, numerators are 6712,5355
Denominators are 189,3924
The GCF of 6712,5355 is 1 .
LCM of 189,3924 is 82404.
The greatest common factor of 6712/189,5355/3924 = [GCF of 6712,5355]/[LCM of 189,3924]= 1/82404
Therefore, the GCF of 6712/189,5355/3924 is 1/82404.
To find the highest common factor of 6712,5355, we have to find the factors of both numbers and list the highest common factor.
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The HCF of 6712,5355 is 1.
Lets's calculate GCF of 6712,5355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6712,5355 By Matching Biggest Common Factor Method
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Greatest Common Factor
We found the factors 6712,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 6712,5355 is 1.
Lets's calculate LCM of 189,3924
| 3 | 189, 3924 |
| 3 | 63, 1308 |
| 21, 436 |
∴ So the LCM of the given numbers is 3 x 3 x 21 x 436 = 82404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82404
Therefore, the GCF of Fractions 6712/189,5355/3924 is 1/82404
Least Common Multiple of 189,3924 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 189,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,3924) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(189,3924) x common factors =9 x 1 = 9
LCM(189,3924) = ( 189 × 3924 ) / 9
LCM(189,3924) = 741636 / 9
LCM(189,3924) = 82404
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FAQs on GCF of Fractions of 6712/189, 5355/3924
1. What is the HCF of 6712,5355?
The HCF of 6712,5355 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 6712/189, 5355/3924?
Answer: GCF of Numerators as per given numbers 6712/189, 5355/3924 is
GCF of Numerators i.e. for 6712,5355 is 1
LCM of denominators i.e. for 189,3924 is 82404.
Thus, GCF of Fractions is 1/82404.Finally, GCF of Fractions for 6712/189, 5355/3924 is 1/82404.