GCF of 6186/964, 1558/3321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6186/964, 1558/3321 i.e 2/3201444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6186/964, 1558/3321.
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 6186/964,1558/3321?
Given fractions are 6186/964,1558/3321
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 6186/964,1558/3321, numerators are 6186,1558
Denominators are 964,3321
The GCF of 6186,1558 is 2 .
LCM of 964,3321 is 3201444.
The greatest common factor of 6186/964,1558/3321 = [GCF of 6186,1558]/[LCM of 964,3321]= 2/3201444
Therefore, the GCF of 6186/964,1558/3321 is 2/3201444.
To find the highest common factor of 6186,1558, we have to find the factors of both numbers and list the highest common factor.
The factors of 6186 are 1, 2, 3, 6, 1031, 2062, 3093, 6186
The factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558
The HCF of 6186,1558 is 2.
Lets's calculate GCF of 6186,1558
| 2 | 6186, 1558 |
| 3093, 779 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6186,1558 By Matching Biggest Common Factor Method
Now, list down the factors of 6186
:1,2,3,6,1031,2062,3093,6186
Now, list down the factors of 1558
:1,2,19,38,41,82,779,1558
Greatest Common Factor
We found the factors 6186,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 6186,1558 is 2.
Lets's calculate LCM of 964,3321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3201444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3201444
Therefore, the GCF of Fractions 6186/964,1558/3321 is 2/3201444
Least Common Multiple of 964,3321 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 964,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,3321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,3321) x common factors =1 x 1 = 1
LCM(964,3321) = ( 964 × 3321 ) / 1
LCM(964,3321) = 3201444 / 1
LCM(964,3321) = 3201444
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FAQs on GCF of Fractions of 6186/964, 1558/3321
1. What is the HCF of 6186,1558?
The HCF of 6186,1558 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 6186/964, 1558/3321?
Answer: GCF of Numerators as per given numbers 6186/964, 1558/3321 is
GCF of Numerators i.e. for 6186,1558 is 2
LCM of denominators i.e. for 964,3321 is 3201444.
Thus, GCF of Fractions is 2/3201444.Finally, GCF of Fractions for 6186/964, 1558/3321 is 2/3201444.