Use our free GCF of Fractions Calculator tool to compute the GCF of 2142/131, 3683/4084 i.e 1/535004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2142/131, 3683/4084.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2142/131,3683/4084
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 2142/131,3683/4084, numerators are 2142,3683
Denominators are 131,4084
The GCF of 2142,3683 is 1 .
LCM of 131,4084 is 535004.
The greatest common factor of 2142/131,3683/4084 = [GCF of 2142,3683]/[LCM of 131,4084]= 1/535004
Therefore, the GCF of 2142/131,3683/4084 is 1/535004.
To find the highest common factor of 2142,3683, we have to find the factors of both numbers and list the highest common factor.
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The factors of 3683 are 1, 29, 127, 3683
The HCF of 2142,3683 is 1.
Lets's calculate GCF of 2142,3683
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Now, list down the factors of 3683
:1,29,127,3683
Greatest Common Factor
We found the factors 2142,3683 . The biggest common factor number is the GCF number.
So the greatest common factor 2142,3683 is 1.
Lets's calculate LCM of 131,4084
Given numbers has no common factors except 1. So, there LCM is their product i.e 535004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535004
Therefore, the GCF of Fractions 2142/131,3683/4084 is 1/535004
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 131,4084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,4084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,4084) x common factors =1 x 1 = 1
LCM(131,4084) = ( 131 × 4084 ) / 1
LCM(131,4084) = 535004 / 1
LCM(131,4084) = 535004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2142,3683?
The HCF of 2142,3683 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 2142/131, 3683/4084?
Answer: GCF of Numerators as per given numbers 2142/131, 3683/4084 is
GCF of Numerators i.e. for 2142,3683 is 1
LCM of denominators i.e. for 131,4084 is 535004.
Thus, GCF of Fractions is 1/535004.Finally, GCF of Fractions for 2142/131, 3683/4084 is 1/535004.