How to Find GCF of 999/475, 2947/721?

GCF of 999/475, 2947/721

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 999/475, 2947/721 i.e 1/342475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 999/475, 2947/721.

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 999/475,2947/721?

Given fractions are 999/475,2947/721

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 999/475,2947/721, numerators are 999,2947

Denominators are 475,721

The GCF of 999,2947 is 1 .

LCM of 475,721 is 342475.

The greatest common factor of 999/475,2947/721 = [GCF of 999,2947]/[LCM of 475,721]= 1/342475

Therefore, the GCF of 999/475,2947/721 is 1/342475.

Greatest Common Factor of 999,2947

To find the highest common factor of 999,2947, we have to find the factors of both numbers and list the highest common factor.

The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999

The factors of 2947 are 1, 7, 421, 2947

The HCF of 999,2947 is 1.

Lets's calculate GCF of 999,2947

Greatest Common Factor (GCF) of 999,2947 By Common Division

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

Greatest Common Factor of 999,2947 By Matching Biggest Common Factor Method

Now, list down the factors of 999

1,3,9,27,37,111,333,999

Now, list down the factors of 2947

1,7,421,2947

Greatest Common Factor

We found the factors 999,2947 . The biggest common factor number is the GCF number.
So the greatest common factor 999,2947 is 1.

Lets's calculate LCM of 475,721

Lowest Common Multiple of 475,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 342475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342475

Therefore, the GCF of Fractions 999/475,2947/721 is 1/342475

Least Common Multiple of 475,721 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 475,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,721) = 1

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

GCF(475,721) x common factors =1 x 1 = 1

LCM(475,721) = ( 475 × 721 ) / 1

LCM(475,721) = 342475 / 1

LCM(475,721) = 342475

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FAQs on GCF of Fractions of 999/475, 2947/721

1. What is the HCF of 999,2947?

The HCF of 999,2947 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 999/475, 2947/721?

Answer: GCF of Numerators as per given numbers 999/475, 2947/721 is

GCF of Numerators i.e. for 999,2947 is 1

LCM of denominators i.e. for 475,721 is 342475.

Thus, GCF of Fractions is 1/342475.Finally, GCF of Fractions for 999/475, 2947/721 is 1/342475.