How to Find GCF of 45/463, 731/716, 499/287?

GCF of 45/463, 731/716, 499/287

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 45/463, 731/716, 499/287 i.e 1/95142796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/463, 731/716, 499/287.

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 45/463,731/716,499/287?

Given fractions are 45/463,731/716,499/287

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 45/463,731/716,499/287, numerators are 45,731,499

Denominators are 463,716,287

The GCF of 45,731,499 is 1 .

LCM of 463,716,287 is 95142796.

The greatest common factor of 45/463,731/716,499/287 = [GCF of 45,731,499]/[LCM of 463,716,287]= 1/95142796

Therefore, the GCF of 45/463,731/716,499/287 is 1/95142796.

Greatest Common Factor of 45,731,499

To find the highest common factor of 45,731,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 731 are 1, 17, 43, 731

The factors of 499 are 1, 499

The HCF of 45,731,499 is 1.

Lets's calculate GCF of 45,731,499

Greatest Common Factor (GCF) of 45,731,499 By Common Division

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

Greatest Common Factor of 45,731,499 By Matching Biggest Common Factor Method

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 731

1,17,43,731

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 45,731,499 . The biggest common factor number is the GCF number.
So the greatest common factor 45,731,499 is 1.

Lets's calculate LCM of 463,716,287

Lowest Common Multiple of 463,716,287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 95142796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95142796

Therefore, the GCF of Fractions 45/463,731/716,499/287 is 1/95142796

Least Common Multiple of 463,716,287 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 463,716,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,716,287) = 1

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

GCF(463,716,287) x common factors =1 x 1 = 1

LCM(463,716,287) = ( 463 × 716 × 287 ) / 1

LCM(463,716,287) = 95142796 / 1

LCM(463,716,287) = 95142796

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FAQs on GCF of Fractions of 45/463, 731/716, 499/287

1. What is the HCF of 45,731,499?

The HCF of 45,731,499 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 45/463, 731/716, 499/287?

Answer: GCF of Numerators as per given numbers 45/463, 731/716, 499/287 is

GCF of Numerators i.e. for 45,731,499 is 1

LCM of denominators i.e. for 463,716,287 is 95142796.

Thus, GCF of Fractions is 1/95142796.Finally, GCF of Fractions for 45/463, 731/716, 499/287 is 1/95142796.