How to Find GCF of 6131/243, 6186/6928?

GCF of 6131/243, 6186/6928

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 6131/243, 6186/6928 i.e 1/1683504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6131/243, 6186/6928.

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 6131/243,6186/6928?

Given fractions are 6131/243,6186/6928

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 6131/243,6186/6928, numerators are 6131,6186

Denominators are 243,6928

The GCF of 6131,6186 is 1 .

LCM of 243,6928 is 1683504.

The greatest common factor of 6131/243,6186/6928 = [GCF of 6131,6186]/[LCM of 243,6928]= 1/1683504

Therefore, the GCF of 6131/243,6186/6928 is 1/1683504.

Greatest Common Factor of 6131,6186

To find the highest common factor of 6131,6186, we have to find the factors of both numbers and list the highest common factor.

The factors of 6131 are 1, 6131

The factors of 6186 are 1, 2, 3, 6, 1031, 2062, 3093, 6186

The HCF of 6131,6186 is 1.

Lets's calculate GCF of 6131,6186

Greatest Common Factor (GCF) of 6131,6186 By Common Division

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

Greatest Common Factor of 6131,6186 By Matching Biggest Common Factor Method

Now, list down the factors of 6131

1,6131

Now, list down the factors of 6186

1,2,3,6,1031,2062,3093,6186

Greatest Common Factor

We found the factors 6131,6186 . The biggest common factor number is the GCF number.
So the greatest common factor 6131,6186 is 1.

Lets's calculate LCM of 243,6928

Lowest Common Multiple of 243,6928 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1683504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1683504

Therefore, the GCF of Fractions 6131/243,6186/6928 is 1/1683504

Least Common Multiple of 243,6928 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 243,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,6928) = 1

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

GCF(243,6928) x common factors =1 x 1 = 1

LCM(243,6928) = ( 243 × 6928 ) / 1

LCM(243,6928) = 1683504 / 1

LCM(243,6928) = 1683504

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FAQs on GCF of Fractions of 6131/243, 6186/6928

1. What is the HCF of 6131,6186?

The HCF of 6131,6186 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 6131/243, 6186/6928?

Answer: GCF of Numerators as per given numbers 6131/243, 6186/6928 is

GCF of Numerators i.e. for 6131,6186 is 1

LCM of denominators i.e. for 243,6928 is 1683504.

Thus, GCF of Fractions is 1/1683504.Finally, GCF of Fractions for 6131/243, 6186/6928 is 1/1683504.