How to Find GCF of 7349/462, 5771/5323?

GCF of 7349/462, 5771/5323

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 7349/462, 5771/5323 i.e 1/2459226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7349/462, 5771/5323.

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 7349/462,5771/5323?

Given fractions are 7349/462,5771/5323

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 7349/462,5771/5323, numerators are 7349,5771

Denominators are 462,5323

The GCF of 7349,5771 is 1 .

LCM of 462,5323 is 2459226.

The greatest common factor of 7349/462,5771/5323 = [GCF of 7349,5771]/[LCM of 462,5323]= 1/2459226

Therefore, the GCF of 7349/462,5771/5323 is 1/2459226.

Greatest Common Factor of 7349,5771

To find the highest common factor of 7349,5771, we have to find the factors of both numbers and list the highest common factor.

The factors of 7349 are 1, 7349

The factors of 5771 are 1, 29, 199, 5771

The HCF of 7349,5771 is 1.

Lets's calculate GCF of 7349,5771

Greatest Common Factor (GCF) of 7349,5771 By Common Division

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

Greatest Common Factor of 7349,5771 By Matching Biggest Common Factor Method

Now, list down the factors of 7349

1,7349

Now, list down the factors of 5771

1,29,199,5771

Greatest Common Factor

We found the factors 7349,5771 . The biggest common factor number is the GCF number.
So the greatest common factor 7349,5771 is 1.

Lets's calculate LCM of 462,5323

Lowest Common Multiple of 462,5323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2459226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2459226

Therefore, the GCF of Fractions 7349/462,5771/5323 is 1/2459226

Least Common Multiple of 462,5323 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 462,5323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,5323) = 1

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

GCF(462,5323) x common factors =1 x 1 = 1

LCM(462,5323) = ( 462 × 5323 ) / 1

LCM(462,5323) = 2459226 / 1

LCM(462,5323) = 2459226

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FAQs on GCF of Fractions of 7349/462, 5771/5323

1. What is the HCF of 7349,5771?

The HCF of 7349,5771 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 7349/462, 5771/5323?

Answer: GCF of Numerators as per given numbers 7349/462, 5771/5323 is

GCF of Numerators i.e. for 7349,5771 is 1

LCM of denominators i.e. for 462,5323 is 2459226.

Thus, GCF of Fractions is 1/2459226.Finally, GCF of Fractions for 7349/462, 5771/5323 is 1/2459226.