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GCF of 2142/131, 3683/4084

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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

GCF of:

What is the GCF of 2142/131,3683/4084?

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.

Greatest Common Factor of 2142,3683

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

Greatest Common Factor (GCF) of 2142,3683 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2142,3683 By Matching Biggest Common Factor Method

Greatest Common Factor of 2142,3683 By Matching Biggest Common Factor Method

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

Lowest Common Multiple of 131,4084 using Common Division

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

Least Common Multiple of 131,4084 with GCF Formula

Least Common Multiple of 131,4084 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 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


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2142/131, 3683/4084

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.