How to Find GCF of 297/724, 382/475?

GCF of 297/724, 382/475

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 297/724, 382/475 i.e 1/343900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/724, 382/475.

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 297/724,382/475?

Given fractions are 297/724,382/475

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 297/724,382/475, numerators are 297,382

Denominators are 724,475

The GCF of 297,382 is 1 .

LCM of 724,475 is 343900.

The greatest common factor of 297/724,382/475 = [GCF of 297,382]/[LCM of 724,475]= 1/343900

Therefore, the GCF of 297/724,382/475 is 1/343900.

Greatest Common Factor of 297,382

To find the highest common factor of 297,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The factors of 382 are 1, 2, 191, 382

The HCF of 297,382 is 1.

Lets's calculate GCF of 297,382

Greatest Common Factor (GCF) of 297,382 By Common Division

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

Greatest Common Factor of 297,382 By Matching Biggest Common Factor Method

Now, list down the factors of 297

1,3,9,11,27,33,99,297

Now, list down the factors of 382

1,2,191,382

Greatest Common Factor

We found the factors 297,382 . The biggest common factor number is the GCF number.
So the greatest common factor 297,382 is 1.

Lets's calculate LCM of 724,475

Lowest Common Multiple of 724,475 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 343900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343900

Therefore, the GCF of Fractions 297/724,382/475 is 1/343900

Least Common Multiple of 724,475 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 724,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,475) = 1

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

GCF(724,475) x common factors =1 x 1 = 1

LCM(724,475) = ( 724 × 475 ) / 1

LCM(724,475) = 343900 / 1

LCM(724,475) = 343900

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FAQs on GCF of Fractions of 297/724, 382/475

1. What is the HCF of 297,382?

The HCF of 297,382 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 297/724, 382/475?

Answer: GCF of Numerators as per given numbers 297/724, 382/475 is

GCF of Numerators i.e. for 297,382 is 1

LCM of denominators i.e. for 724,475 is 343900.

Thus, GCF of Fractions is 1/343900.Finally, GCF of Fractions for 297/724, 382/475 is 1/343900.