GCF of 6186/892, 3859/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6186/892, 3859/742 i.e 1/330932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6186/892, 3859/742.
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 6186/892,3859/742?
Given fractions are 6186/892,3859/742
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 6186/892,3859/742, numerators are 6186,3859
Denominators are 892,742
The GCF of 6186,3859 is 1 .
LCM of 892,742 is 330932.
The greatest common factor of 6186/892,3859/742 = [GCF of 6186,3859]/[LCM of 892,742]= 1/330932
Therefore, the GCF of 6186/892,3859/742 is 1/330932.
To find the highest common factor of 6186,3859, 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 3859 are 1, 17, 227, 3859
The HCF of 6186,3859 is 1.
Lets's calculate GCF of 6186,3859
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6186,3859 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 3859
:1,17,227,3859
Greatest Common Factor
We found the factors 6186,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 6186,3859 is 1.
Lets's calculate LCM of 892,742
| 2 | 892, 742 |
| 446, 371 |
∴ So the LCM of the given numbers is 2 x 446 x 371 = 330932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330932
Therefore, the GCF of Fractions 6186/892,3859/742 is 1/330932
Least Common Multiple of 892,742 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 892,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,742) x common factors =2 x 1 = 2
LCM(892,742) = ( 892 × 742 ) / 2
LCM(892,742) = 661864 / 2
LCM(892,742) = 330932
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6186/892, 3859/742
1. What is the HCF of 6186,3859?
The HCF of 6186,3859 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 6186/892, 3859/742?
Answer: GCF of Numerators as per given numbers 6186/892, 3859/742 is
GCF of Numerators i.e. for 6186,3859 is 1
LCM of denominators i.e. for 892,742 is 330932.
Thus, GCF of Fractions is 1/330932.Finally, GCF of Fractions for 6186/892, 3859/742 is 1/330932.