How to Find GCF of 3181/281, 6757/9042?

GCF of 3181/281, 6757/9042

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 3181/281, 6757/9042 i.e 1/2540802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3181/281, 6757/9042.

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 3181/281,6757/9042?

Given fractions are 3181/281,6757/9042

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 3181/281,6757/9042, numerators are 3181,6757

Denominators are 281,9042

The GCF of 3181,6757 is 1 .

LCM of 281,9042 is 2540802.

The greatest common factor of 3181/281,6757/9042 = [GCF of 3181,6757]/[LCM of 281,9042]= 1/2540802

Therefore, the GCF of 3181/281,6757/9042 is 1/2540802.

Greatest Common Factor of 3181,6757

To find the highest common factor of 3181,6757, we have to find the factors of both numbers and list the highest common factor.

The factors of 3181 are 1, 3181

The factors of 6757 are 1, 29, 233, 6757

The HCF of 3181,6757 is 1.

Lets's calculate GCF of 3181,6757

Greatest Common Factor (GCF) of 3181,6757 By Common Division

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

Greatest Common Factor of 3181,6757 By Matching Biggest Common Factor Method

Now, list down the factors of 3181

1,3181

Now, list down the factors of 6757

1,29,233,6757

Greatest Common Factor

We found the factors 3181,6757 . The biggest common factor number is the GCF number.
So the greatest common factor 3181,6757 is 1.

Lets's calculate LCM of 281,9042

Lowest Common Multiple of 281,9042 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2540802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2540802

Therefore, the GCF of Fractions 3181/281,6757/9042 is 1/2540802

Least Common Multiple of 281,9042 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 281,9042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,9042) = 1

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

GCF(281,9042) x common factors =1 x 1 = 1

LCM(281,9042) = ( 281 × 9042 ) / 1

LCM(281,9042) = 2540802 / 1

LCM(281,9042) = 2540802

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FAQs on GCF of Fractions of 3181/281, 6757/9042

1. What is the HCF of 3181,6757?

The HCF of 3181,6757 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 3181/281, 6757/9042?

Answer: GCF of Numerators as per given numbers 3181/281, 6757/9042 is

GCF of Numerators i.e. for 3181,6757 is 1

LCM of denominators i.e. for 281,9042 is 2540802.

Thus, GCF of Fractions is 1/2540802.Finally, GCF of Fractions for 3181/281, 6757/9042 is 1/2540802.