How to Find GCF of 4223/204, 7305/3425?

GCF of 4223/204, 7305/3425

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 4223/204, 7305/3425 i.e 1/698700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4223/204, 7305/3425.

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 4223/204,7305/3425?

Given fractions are 4223/204,7305/3425

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 4223/204,7305/3425, numerators are 4223,7305

Denominators are 204,3425

The GCF of 4223,7305 is 1 .

LCM of 204,3425 is 698700.

The greatest common factor of 4223/204,7305/3425 = [GCF of 4223,7305]/[LCM of 204,3425]= 1/698700

Therefore, the GCF of 4223/204,7305/3425 is 1/698700.

Greatest Common Factor of 4223,7305

To find the highest common factor of 4223,7305, we have to find the factors of both numbers and list the highest common factor.

The factors of 4223 are 1, 41, 103, 4223

The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305

The HCF of 4223,7305 is 1.

Lets's calculate GCF of 4223,7305

Greatest Common Factor (GCF) of 4223,7305 By Common Division

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

Greatest Common Factor of 4223,7305 By Matching Biggest Common Factor Method

Now, list down the factors of 4223

1,41,103,4223

Now, list down the factors of 7305

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 4223,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 4223,7305 is 1.

Lets's calculate LCM of 204,3425

Lowest Common Multiple of 204,3425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 698700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698700

Therefore, the GCF of Fractions 4223/204,7305/3425 is 1/698700

Least Common Multiple of 204,3425 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 204,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,3425) = 1

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

GCF(204,3425) x common factors =1 x 1 = 1

LCM(204,3425) = ( 204 × 3425 ) / 1

LCM(204,3425) = 698700 / 1

LCM(204,3425) = 698700

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4223/204, 7305/3425

1. What is the HCF of 4223,7305?

The HCF of 4223,7305 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 4223/204, 7305/3425?

Answer: GCF of Numerators as per given numbers 4223/204, 7305/3425 is

GCF of Numerators i.e. for 4223,7305 is 1

LCM of denominators i.e. for 204,3425 is 698700.

Thus, GCF of Fractions is 1/698700.Finally, GCF of Fractions for 4223/204, 7305/3425 is 1/698700.