How to Find GCF of 4550/477, 4604/721?

GCF of 4550/477, 4604/721

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 4550/477, 4604/721 i.e 2/343917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4550/477, 4604/721.

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 4550/477,4604/721?

Given fractions are 4550/477,4604/721

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 4550/477,4604/721, numerators are 4550,4604

Denominators are 477,721

The GCF of 4550,4604 is 2 .

LCM of 477,721 is 343917.

The greatest common factor of 4550/477,4604/721 = [GCF of 4550,4604]/[LCM of 477,721]= 2/343917

Therefore, the GCF of 4550/477,4604/721 is 2/343917.

Greatest Common Factor of 4550,4604

To find the highest common factor of 4550,4604, we have to find the factors of both numbers and list the highest common factor.

The factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550

The factors of 4604 are 1, 2, 4, 1151, 2302, 4604

The HCF of 4550,4604 is 2.

Lets's calculate GCF of 4550,4604

Greatest Common Factor (GCF) of 4550,4604 By Common Division

2	4550, 4604
	2275, 2302

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4550,4604 By Matching Biggest Common Factor Method

Now, list down the factors of 4550

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Now, list down the factors of 4604

1,2,4,1151,2302,4604

Greatest Common Factor

We found the factors 4550,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 4550,4604 is 2.

Lets's calculate LCM of 477,721

Lowest Common Multiple of 477,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 343917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343917

Therefore, the GCF of Fractions 4550/477,4604/721 is 2/343917

Least Common Multiple of 477,721 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 477,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,721) = 1

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

GCF(477,721) x common factors =1 x 1 = 1

LCM(477,721) = ( 477 × 721 ) / 1

LCM(477,721) = 343917 / 1

LCM(477,721) = 343917

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FAQs on GCF of Fractions of 4550/477, 4604/721

1. What is the HCF of 4550,4604?

The HCF of 4550,4604 is 2

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 4550/477, 4604/721?

Answer: GCF of Numerators as per given numbers 4550/477, 4604/721 is

GCF of Numerators i.e. for 4550,4604 is 2

LCM of denominators i.e. for 477,721 is 343917.

Thus, GCF of Fractions is 2/343917.Finally, GCF of Fractions for 4550/477, 4604/721 is 2/343917.