How to Find GCF of 818/661, 6141/566?

GCF of 818/661, 6141/566

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 818/661, 6141/566 i.e 1/374126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/661, 6141/566.

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 818/661,6141/566?

Given fractions are 818/661,6141/566

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 818/661,6141/566, numerators are 818,6141

Denominators are 661,566

The GCF of 818,6141 is 1 .

LCM of 661,566 is 374126.

The greatest common factor of 818/661,6141/566 = [GCF of 818,6141]/[LCM of 661,566]= 1/374126

Therefore, the GCF of 818/661,6141/566 is 1/374126.

Greatest Common Factor of 818,6141

To find the highest common factor of 818,6141, we have to find the factors of both numbers and list the highest common factor.

The factors of 818 are 1, 2, 409, 818

The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141

The HCF of 818,6141 is 1.

Lets's calculate GCF of 818,6141

Greatest Common Factor (GCF) of 818,6141 By Common Division

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

Greatest Common Factor of 818,6141 By Matching Biggest Common Factor Method

Now, list down the factors of 818

1,2,409,818

Now, list down the factors of 6141

1,3,23,69,89,267,2047,6141

Greatest Common Factor

We found the factors 818,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 818,6141 is 1.

Lets's calculate LCM of 661,566

Lowest Common Multiple of 661,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 374126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374126

Therefore, the GCF of Fractions 818/661,6141/566 is 1/374126

Least Common Multiple of 661,566 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 661,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,566) = 1

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

GCF(661,566) x common factors =1 x 1 = 1

LCM(661,566) = ( 661 × 566 ) / 1

LCM(661,566) = 374126 / 1

LCM(661,566) = 374126

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FAQs on GCF of Fractions of 818/661, 6141/566

1. What is the HCF of 818,6141?

The HCF of 818,6141 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 818/661, 6141/566?

Answer: GCF of Numerators as per given numbers 818/661, 6141/566 is

GCF of Numerators i.e. for 818,6141 is 1

LCM of denominators i.e. for 661,566 is 374126.

Thus, GCF of Fractions is 1/374126.Finally, GCF of Fractions for 818/661, 6141/566 is 1/374126.