How to Find GCF of 4823/550, 1653/4393?

GCF of 4823/550, 1653/4393

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 4823/550, 1653/4393 i.e 1/2416150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4823/550, 1653/4393.

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 4823/550,1653/4393?

Given fractions are 4823/550,1653/4393

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 4823/550,1653/4393, numerators are 4823,1653

Denominators are 550,4393

The GCF of 4823,1653 is 1 .

LCM of 550,4393 is 2416150.

The greatest common factor of 4823/550,1653/4393 = [GCF of 4823,1653]/[LCM of 550,4393]= 1/2416150

Therefore, the GCF of 4823/550,1653/4393 is 1/2416150.

Greatest Common Factor of 4823,1653

To find the highest common factor of 4823,1653, we have to find the factors of both numbers and list the highest common factor.

The factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823

The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653

The HCF of 4823,1653 is 1.

Lets's calculate GCF of 4823,1653

Greatest Common Factor (GCF) of 4823,1653 By Common Division

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

Greatest Common Factor of 4823,1653 By Matching Biggest Common Factor Method

Now, list down the factors of 4823

1,7,13,53,91,371,689,4823

Now, list down the factors of 1653

1,3,19,29,57,87,551,1653

Greatest Common Factor

We found the factors 4823,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 4823,1653 is 1.

Lets's calculate LCM of 550,4393

Lowest Common Multiple of 550,4393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2416150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2416150

Therefore, the GCF of Fractions 4823/550,1653/4393 is 1/2416150

Least Common Multiple of 550,4393 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 550,4393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,4393) = 1

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

GCF(550,4393) x common factors =1 x 1 = 1

LCM(550,4393) = ( 550 × 4393 ) / 1

LCM(550,4393) = 2416150 / 1

LCM(550,4393) = 2416150

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FAQs on GCF of Fractions of 4823/550, 1653/4393

1. What is the HCF of 4823,1653?

The HCF of 4823,1653 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 4823/550, 1653/4393?

Answer: GCF of Numerators as per given numbers 4823/550, 1653/4393 is

GCF of Numerators i.e. for 4823,1653 is 1

LCM of denominators i.e. for 550,4393 is 2416150.

Thus, GCF of Fractions is 1/2416150.Finally, GCF of Fractions for 4823/550, 1653/4393 is 1/2416150.