How to Find GCF of 2203/264, 1381/419?

GCF of 2203/264, 1381/419

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 2203/264, 1381/419 i.e 1/110616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2203/264, 1381/419.

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 2203/264,1381/419?

Given fractions are 2203/264,1381/419

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 2203/264,1381/419, numerators are 2203,1381

Denominators are 264,419

The GCF of 2203,1381 is 1 .

LCM of 264,419 is 110616.

The greatest common factor of 2203/264,1381/419 = [GCF of 2203,1381]/[LCM of 264,419]= 1/110616

Therefore, the GCF of 2203/264,1381/419 is 1/110616.

Greatest Common Factor of 2203,1381

To find the highest common factor of 2203,1381, we have to find the factors of both numbers and list the highest common factor.

The factors of 2203 are 1, 2203

The factors of 1381 are 1, 1381

The HCF of 2203,1381 is 1.

Lets's calculate GCF of 2203,1381

Greatest Common Factor (GCF) of 2203,1381 By Common Division

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

Greatest Common Factor of 2203,1381 By Matching Biggest Common Factor Method

Now, list down the factors of 2203

1,2203

Now, list down the factors of 1381

1,1381

Greatest Common Factor

We found the factors 2203,1381 . The biggest common factor number is the GCF number.
So the greatest common factor 2203,1381 is 1.

Lets's calculate LCM of 264,419

Lowest Common Multiple of 264,419 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110616

Therefore, the GCF of Fractions 2203/264,1381/419 is 1/110616

Least Common Multiple of 264,419 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 264,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,419) = 1

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

GCF(264,419) x common factors =1 x 1 = 1

LCM(264,419) = ( 264 × 419 ) / 1

LCM(264,419) = 110616 / 1

LCM(264,419) = 110616

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FAQs on GCF of Fractions of 2203/264, 1381/419

1. What is the HCF of 2203,1381?

The HCF of 2203,1381 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 2203/264, 1381/419?

Answer: GCF of Numerators as per given numbers 2203/264, 1381/419 is

GCF of Numerators i.e. for 2203,1381 is 1

LCM of denominators i.e. for 264,419 is 110616.

Thus, GCF of Fractions is 1/110616.Finally, GCF of Fractions for 2203/264, 1381/419 is 1/110616.