How to Find GCF of 6042/236, 8713/1331?

GCF of 6042/236, 8713/1331

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 6042/236, 8713/1331 i.e 1/314116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6042/236, 8713/1331.

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 6042/236,8713/1331?

Given fractions are 6042/236,8713/1331

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 6042/236,8713/1331, numerators are 6042,8713

Denominators are 236,1331

The GCF of 6042,8713 is 1 .

LCM of 236,1331 is 314116.

The greatest common factor of 6042/236,8713/1331 = [GCF of 6042,8713]/[LCM of 236,1331]= 1/314116

Therefore, the GCF of 6042/236,8713/1331 is 1/314116.

Greatest Common Factor of 6042,8713

To find the highest common factor of 6042,8713, we have to find the factors of both numbers and list the highest common factor.

The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

The factors of 8713 are 1, 8713

The HCF of 6042,8713 is 1.

Lets's calculate GCF of 6042,8713

Greatest Common Factor (GCF) of 6042,8713 By Common Division

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

Greatest Common Factor of 6042,8713 By Matching Biggest Common Factor Method

Now, list down the factors of 6042

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Now, list down the factors of 8713

1,8713

Greatest Common Factor

We found the factors 6042,8713 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,8713 is 1.

Lets's calculate LCM of 236,1331

Lowest Common Multiple of 236,1331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 314116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314116

Therefore, the GCF of Fractions 6042/236,8713/1331 is 1/314116

Least Common Multiple of 236,1331 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 236,1331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,1331) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(236,1331) x common factors =1 x 1 = 1

LCM(236,1331) = ( 236 × 1331 ) / 1

LCM(236,1331) = 314116 / 1

LCM(236,1331) = 314116

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6042/236, 8713/1331

1. What is the HCF of 6042,8713?

The HCF of 6042,8713 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 6042/236, 8713/1331?

Answer: GCF of Numerators as per given numbers 6042/236, 8713/1331 is

GCF of Numerators i.e. for 6042,8713 is 1

LCM of denominators i.e. for 236,1331 is 314116.

Thus, GCF of Fractions is 1/314116.Finally, GCF of Fractions for 6042/236, 8713/1331 is 1/314116.