How to Find GCF of 3083/545, 9226/686?

GCF of 3083/545, 9226/686

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 3083/545, 9226/686 i.e 1/373870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3083/545, 9226/686.

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 3083/545,9226/686?

Given fractions are 3083/545,9226/686

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 3083/545,9226/686, numerators are 3083,9226

Denominators are 545,686

The GCF of 3083,9226 is 1 .

LCM of 545,686 is 373870.

The greatest common factor of 3083/545,9226/686 = [GCF of 3083,9226]/[LCM of 545,686]= 1/373870

Therefore, the GCF of 3083/545,9226/686 is 1/373870.

Greatest Common Factor of 3083,9226

To find the highest common factor of 3083,9226, we have to find the factors of both numbers and list the highest common factor.

The factors of 3083 are 1, 3083

The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226

The HCF of 3083,9226 is 1.

Lets's calculate GCF of 3083,9226

Greatest Common Factor (GCF) of 3083,9226 By Common Division

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

Greatest Common Factor of 3083,9226 By Matching Biggest Common Factor Method

Now, list down the factors of 3083

1,3083

Now, list down the factors of 9226

1,2,7,14,659,1318,4613,9226

Greatest Common Factor

We found the factors 3083,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 3083,9226 is 1.

Lets's calculate LCM of 545,686

Lowest Common Multiple of 545,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 373870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373870

Therefore, the GCF of Fractions 3083/545,9226/686 is 1/373870

Least Common Multiple of 545,686 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 545,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,686) = 1

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

GCF(545,686) x common factors =1 x 1 = 1

LCM(545,686) = ( 545 × 686 ) / 1

LCM(545,686) = 373870 / 1

LCM(545,686) = 373870

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FAQs on GCF of Fractions of 3083/545, 9226/686

1. What is the HCF of 3083,9226?

The HCF of 3083,9226 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 3083/545, 9226/686?

Answer: GCF of Numerators as per given numbers 3083/545, 9226/686 is

GCF of Numerators i.e. for 3083,9226 is 1

LCM of denominators i.e. for 545,686 is 373870.

Thus, GCF of Fractions is 1/373870.Finally, GCF of Fractions for 3083/545, 9226/686 is 1/373870.