How to Find GCF of 23/563, 737/475, 406/497?

GCF of 23/563, 737/475, 406/497

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 23/563, 737/475, 406/497 i.e 1/132910225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/563, 737/475, 406/497.

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 23/563,737/475,406/497?

Given fractions are 23/563,737/475,406/497

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 23/563,737/475,406/497, numerators are 23,737,406

Denominators are 563,475,497

The GCF of 23,737,406 is 1 .

LCM of 563,475,497 is 132910225.

The greatest common factor of 23/563,737/475,406/497 = [GCF of 23,737,406]/[LCM of 563,475,497]= 1/132910225

Therefore, the GCF of 23/563,737/475,406/497 is 1/132910225.

Greatest Common Factor of 23,737,406

To find the highest common factor of 23,737,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 737 are 1, 11, 67, 737

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 23,737,406 is 1.

Lets's calculate GCF of 23,737,406

Greatest Common Factor (GCF) of 23,737,406 By Common Division

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

Greatest Common Factor of 23,737,406 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 737

1,11,67,737

Now, list down the factors of 406

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 23,737,406 . The biggest common factor number is the GCF number.
So the greatest common factor 23,737,406 is 1.

Lets's calculate LCM of 563,475,497

Lowest Common Multiple of 563,475,497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 132910225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132910225

Therefore, the GCF of Fractions 23/563,737/475,406/497 is 1/132910225

Least Common Multiple of 563,475,497 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 563,475,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,475,497) = 1

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

GCF(563,475,497) x common factors =1 x 1 = 1

LCM(563,475,497) = ( 563 × 475 × 497 ) / 1

LCM(563,475,497) = 132910225 / 1

LCM(563,475,497) = 132910225

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 23/563, 737/475, 406/497

1. What is the HCF of 23,737,406?

The HCF of 23,737,406 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 23/563, 737/475, 406/497?

Answer: GCF of Numerators as per given numbers 23/563, 737/475, 406/497 is

GCF of Numerators i.e. for 23,737,406 is 1

LCM of denominators i.e. for 563,475,497 is 132910225.

Thus, GCF of Fractions is 1/132910225.Finally, GCF of Fractions for 23/563, 737/475, 406/497 is 1/132910225.