How to Find GCF of 9209/249, 4321/1792?

GCF of 9209/249, 4321/1792

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 9209/249, 4321/1792 i.e 1/446208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9209/249, 4321/1792.

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 9209/249,4321/1792?

Given fractions are 9209/249,4321/1792

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 9209/249,4321/1792, numerators are 9209,4321

Denominators are 249,1792

The GCF of 9209,4321 is 1 .

LCM of 249,1792 is 446208.

The greatest common factor of 9209/249,4321/1792 = [GCF of 9209,4321]/[LCM of 249,1792]= 1/446208

Therefore, the GCF of 9209/249,4321/1792 is 1/446208.

Greatest Common Factor of 9209,4321

To find the highest common factor of 9209,4321, we have to find the factors of both numbers and list the highest common factor.

The factors of 9209 are 1, 9209

The factors of 4321 are 1, 29, 149, 4321

The HCF of 9209,4321 is 1.

Lets's calculate GCF of 9209,4321

Greatest Common Factor (GCF) of 9209,4321 By Common Division

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

Greatest Common Factor of 9209,4321 By Matching Biggest Common Factor Method

Now, list down the factors of 9209

1,9209

Now, list down the factors of 4321

1,29,149,4321

Greatest Common Factor

We found the factors 9209,4321 . The biggest common factor number is the GCF number.
So the greatest common factor 9209,4321 is 1.

Lets's calculate LCM of 249,1792

Lowest Common Multiple of 249,1792 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 446208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446208

Therefore, the GCF of Fractions 9209/249,4321/1792 is 1/446208

Least Common Multiple of 249,1792 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 249,1792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,1792) = 1

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

GCF(249,1792) x common factors =1 x 1 = 1

LCM(249,1792) = ( 249 × 1792 ) / 1

LCM(249,1792) = 446208 / 1

LCM(249,1792) = 446208

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FAQs on GCF of Fractions of 9209/249, 4321/1792

1. What is the HCF of 9209,4321?

The HCF of 9209,4321 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 9209/249, 4321/1792?

Answer: GCF of Numerators as per given numbers 9209/249, 4321/1792 is

GCF of Numerators i.e. for 9209,4321 is 1

LCM of denominators i.e. for 249,1792 is 446208.

Thus, GCF of Fractions is 1/446208.Finally, GCF of Fractions for 9209/249, 4321/1792 is 1/446208.