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GCF of 899/23, 923/4821

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 899/23, 923/4821 i.e 1/110883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/23, 923/4821.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 899/23,923/4821?

Given fractions are 899/23,923/4821

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 899/23,923/4821, numerators are 899,923

Denominators are 23,4821

The GCF of 899,923 is 1 .

LCM of 23,4821 is 110883.

The greatest common factor of 899/23,923/4821 = [GCF of 899,923]/[LCM of 23,4821]= 1/110883

Therefore, the GCF of 899/23,923/4821 is 1/110883.

Greatest Common Factor of 899,923

To find the highest common factor of 899,923, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 923 are 1, 13, 71, 923

The HCF of 899,923 is 1.

Lets's calculate GCF of 899,923

Greatest Common Factor (GCF) of 899,923 By Common Division

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

Greatest Common Factor of 899,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,923 By Matching Biggest Common Factor Method

Now, list down the factors of 899

:

1,29,31,899

Now, list down the factors of 923

:

1,13,71,923

Greatest Common Factor

We found the factors 899,923 . The biggest common factor number is the GCF number.
So the greatest common factor 899,923 is 1.

Lets's calculate LCM of 23,4821

Lowest Common Multiple of 23,4821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110883

Therefore, the GCF of Fractions 899/23,923/4821 is 1/110883

Least Common Multiple of 23,4821 with GCF Formula

Least Common Multiple of 23,4821 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,4821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,4821) = 1

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

GCF(23,4821) x common factors =1 x 1 = 1

LCM(23,4821) = ( 23 × 4821 ) / 1

LCM(23,4821) = 110883 / 1

LCM(23,4821) = 110883


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FAQs on GCF of Fractions of 899/23, 923/4821

1. What is the HCF of 899,923?

The HCF of 899,923 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 899/23, 923/4821?

Answer: GCF of Numerators as per given numbers 899/23, 923/4821 is

GCF of Numerators i.e. for 899,923 is 1

LCM of denominators i.e. for 23,4821 is 110883.

Thus, GCF of Fractions is 1/110883.Finally, GCF of Fractions for 899/23, 923/4821 is 1/110883.