GCF of 3188/486, 1322/2365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3188/486, 1322/2365 i.e 2/1149390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3188/486, 1322/2365.
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 3188/486,1322/2365?
Given fractions are 3188/486,1322/2365
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 3188/486,1322/2365, numerators are 3188,1322
Denominators are 486,2365
The GCF of 3188,1322 is 2 .
LCM of 486,2365 is 1149390.
The greatest common factor of 3188/486,1322/2365 = [GCF of 3188,1322]/[LCM of 486,2365]= 2/1149390
Therefore, the GCF of 3188/486,1322/2365 is 2/1149390.
To find the highest common factor of 3188,1322, we have to find the factors of both numbers and list the highest common factor.
The factors of 3188 are 1, 2, 4, 797, 1594, 3188
The factors of 1322 are 1, 2, 661, 1322
The HCF of 3188,1322 is 2.
Lets's calculate GCF of 3188,1322
| 2 | 3188, 1322 |
| 1594, 661 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3188,1322 By Matching Biggest Common Factor Method
Now, list down the factors of 3188
:1,2,4,797,1594,3188
Now, list down the factors of 1322
:1,2,661,1322
Greatest Common Factor
We found the factors 3188,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 3188,1322 is 2.
Lets's calculate LCM of 486,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 1149390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1149390
Therefore, the GCF of Fractions 3188/486,1322/2365 is 2/1149390
Least Common Multiple of 486,2365 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 486,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,2365) x common factors =1 x 1 = 1
LCM(486,2365) = ( 486 × 2365 ) / 1
LCM(486,2365) = 1149390 / 1
LCM(486,2365) = 1149390
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FAQs on GCF of Fractions of 3188/486, 1322/2365
1. What is the HCF of 3188,1322?
The HCF of 3188,1322 is 2
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 3188/486, 1322/2365?
Answer: GCF of Numerators as per given numbers 3188/486, 1322/2365 is
GCF of Numerators i.e. for 3188,1322 is 2
LCM of denominators i.e. for 486,2365 is 1149390.
Thus, GCF of Fractions is 2/1149390.Finally, GCF of Fractions for 3188/486, 1322/2365 is 2/1149390.