How to Find GCF of 209/932, 9281/2208?

GCF of 209/932, 9281/2208

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 209/932, 9281/2208 i.e 1/514464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/932, 9281/2208.

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 209/932,9281/2208?

Given fractions are 209/932,9281/2208

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 209/932,9281/2208, numerators are 209,9281

Denominators are 932,2208

The GCF of 209,9281 is 1 .

LCM of 932,2208 is 514464.

The greatest common factor of 209/932,9281/2208 = [GCF of 209,9281]/[LCM of 932,2208]= 1/514464

Therefore, the GCF of 209/932,9281/2208 is 1/514464.

Greatest Common Factor of 209,9281

To find the highest common factor of 209,9281, we have to find the factors of both numbers and list the highest common factor.

The factors of 209 are 1, 11, 19, 209

The factors of 9281 are 1, 9281

The HCF of 209,9281 is 1.

Lets's calculate GCF of 209,9281

Greatest Common Factor (GCF) of 209,9281 By Common Division

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

Greatest Common Factor of 209,9281 By Matching Biggest Common Factor Method

Now, list down the factors of 209

1,11,19,209

Now, list down the factors of 9281

1,9281

Greatest Common Factor

We found the factors 209,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 209,9281 is 1.

Lets's calculate LCM of 932,2208

Lowest Common Multiple of 932,2208 using Common Division

2	932, 2208
2	466, 1104
	233, 552

∴ So the LCM of the given numbers is 2 x 2 x 233 x 552 = 514464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514464

Therefore, the GCF of Fractions 209/932,9281/2208 is 1/514464

Least Common Multiple of 932,2208 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 932,2208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,2208) = 4

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

GCF(932,2208) x common factors =4 x 1 = 4

LCM(932,2208) = ( 932 × 2208 ) / 4

LCM(932,2208) = 2057856 / 4

LCM(932,2208) = 514464

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FAQs on GCF of Fractions of 209/932, 9281/2208

1. What is the HCF of 209,9281?

The HCF of 209,9281 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 209/932, 9281/2208?

Answer: GCF of Numerators as per given numbers 209/932, 9281/2208 is

GCF of Numerators i.e. for 209,9281 is 1

LCM of denominators i.e. for 932,2208 is 514464.

Thus, GCF of Fractions is 1/514464.Finally, GCF of Fractions for 209/932, 9281/2208 is 1/514464.