How to Find GCF of 7323/409, 9911/4358?

GCF of 7323/409, 9911/4358

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 7323/409, 9911/4358 i.e 1/1782422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7323/409, 9911/4358.

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 7323/409,9911/4358?

Given fractions are 7323/409,9911/4358

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 7323/409,9911/4358, numerators are 7323,9911

Denominators are 409,4358

The GCF of 7323,9911 is 1 .

LCM of 409,4358 is 1782422.

The greatest common factor of 7323/409,9911/4358 = [GCF of 7323,9911]/[LCM of 409,4358]= 1/1782422

Therefore, the GCF of 7323/409,9911/4358 is 1/1782422.

Greatest Common Factor of 7323,9911

To find the highest common factor of 7323,9911, we have to find the factors of both numbers and list the highest common factor.

The factors of 7323 are 1, 3, 2441, 7323

The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911

The HCF of 7323,9911 is 1.

Lets's calculate GCF of 7323,9911

Greatest Common Factor (GCF) of 7323,9911 By Common Division

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

Greatest Common Factor of 7323,9911 By Matching Biggest Common Factor Method

Now, list down the factors of 7323

1,3,2441,7323

Now, list down the factors of 9911

1,11,17,53,187,583,901,9911

Greatest Common Factor

We found the factors 7323,9911 . The biggest common factor number is the GCF number.
So the greatest common factor 7323,9911 is 1.

Lets's calculate LCM of 409,4358

Lowest Common Multiple of 409,4358 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1782422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1782422

Therefore, the GCF of Fractions 7323/409,9911/4358 is 1/1782422

Least Common Multiple of 409,4358 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 409,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,4358) = 1

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

GCF(409,4358) x common factors =1 x 1 = 1

LCM(409,4358) = ( 409 × 4358 ) / 1

LCM(409,4358) = 1782422 / 1

LCM(409,4358) = 1782422

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FAQs on GCF of Fractions of 7323/409, 9911/4358

1. What is the HCF of 7323,9911?

The HCF of 7323,9911 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 7323/409, 9911/4358?

Answer: GCF of Numerators as per given numbers 7323/409, 9911/4358 is

GCF of Numerators i.e. for 7323,9911 is 1

LCM of denominators i.e. for 409,4358 is 1782422.

Thus, GCF of Fractions is 1/1782422.Finally, GCF of Fractions for 7323/409, 9911/4358 is 1/1782422.