GCF of 3177/471, 7329/2355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3177/471, 7329/2355 i.e 3/2355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3177/471, 7329/2355.
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 3177/471,7329/2355?
Given fractions are 3177/471,7329/2355
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 3177/471,7329/2355, numerators are 3177,7329
Denominators are 471,2355
The GCF of 3177,7329 is 3 .
LCM of 471,2355 is 2355.
The greatest common factor of 3177/471,7329/2355 = [GCF of 3177,7329]/[LCM of 471,2355]= 3/2355
Therefore, the GCF of 3177/471,7329/2355 is 3/2355.
To find the highest common factor of 3177,7329, we have to find the factors of both numbers and list the highest common factor.
The factors of 3177 are 1, 3, 9, 353, 1059, 3177
The factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329
The HCF of 3177,7329 is 3.
Lets's calculate GCF of 3177,7329
| 3 | 3177, 7329 |
| 1059, 2443 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3177,7329 By Matching Biggest Common Factor Method
Now, list down the factors of 3177
:1,3,9,353,1059,3177
Now, list down the factors of 7329
:1,3,7,21,349,1047,2443,7329
Greatest Common Factor
We found the factors 3177,7329 . The biggest common factor number is the GCF number.
So the greatest common factor 3177,7329 is 3.
Lets's calculate LCM of 471,2355
| 3 | 471, 2355 |
| 157 | 157, 785 |
| 1, 5 |
∴ So the LCM of the given numbers is 3 x 157 x 1 x 5 = 2355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2355
Therefore, the GCF of Fractions 3177/471,7329/2355 is 3/2355
Least Common Multiple of 471,2355 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 471,2355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,2355) = 471
common factors(in case of two or more numbers have common factors) = 1
GCF(471,2355) x common factors =471 x 1 = 471
LCM(471,2355) = ( 471 × 2355 ) / 471
LCM(471,2355) = 1109205 / 471
LCM(471,2355) = 2355
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FAQs on GCF of Fractions of 3177/471, 7329/2355
1. What is the HCF of 3177,7329?
The HCF of 3177,7329 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 3177/471, 7329/2355?
Answer: GCF of Numerators as per given numbers 3177/471, 7329/2355 is
GCF of Numerators i.e. for 3177,7329 is 3
LCM of denominators i.e. for 471,2355 is 2355.
Thus, GCF of Fractions is 3/2355.Finally, GCF of Fractions for 3177/471, 7329/2355 is 3/2355.