How to Find GCF of 2153/404, 7149/4261?

GCF of 2153/404, 7149/4261

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 2153/404, 7149/4261 i.e 1/1721444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2153/404, 7149/4261.

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 2153/404,7149/4261?

Given fractions are 2153/404,7149/4261

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 2153/404,7149/4261, numerators are 2153,7149

Denominators are 404,4261

The GCF of 2153,7149 is 1 .

LCM of 404,4261 is 1721444.

The greatest common factor of 2153/404,7149/4261 = [GCF of 2153,7149]/[LCM of 404,4261]= 1/1721444

Therefore, the GCF of 2153/404,7149/4261 is 1/1721444.

Greatest Common Factor of 2153,7149

To find the highest common factor of 2153,7149, we have to find the factors of both numbers and list the highest common factor.

The factors of 2153 are 1, 2153

The factors of 7149 are 1, 3, 2383, 7149

The HCF of 2153,7149 is 1.

Lets's calculate GCF of 2153,7149

Greatest Common Factor (GCF) of 2153,7149 By Common Division

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

Greatest Common Factor of 2153,7149 By Matching Biggest Common Factor Method

Now, list down the factors of 2153

1,2153

Now, list down the factors of 7149

1,3,2383,7149

Greatest Common Factor

We found the factors 2153,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 2153,7149 is 1.

Lets's calculate LCM of 404,4261

Lowest Common Multiple of 404,4261 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1721444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1721444

Therefore, the GCF of Fractions 2153/404,7149/4261 is 1/1721444

Least Common Multiple of 404,4261 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 404,4261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,4261) = 1

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

GCF(404,4261) x common factors =1 x 1 = 1

LCM(404,4261) = ( 404 × 4261 ) / 1

LCM(404,4261) = 1721444 / 1

LCM(404,4261) = 1721444

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FAQs on GCF of Fractions of 2153/404, 7149/4261

1. What is the HCF of 2153,7149?

The HCF of 2153,7149 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 2153/404, 7149/4261?

Answer: GCF of Numerators as per given numbers 2153/404, 7149/4261 is

GCF of Numerators i.e. for 2153,7149 is 1

LCM of denominators i.e. for 404,4261 is 1721444.

Thus, GCF of Fractions is 1/1721444.Finally, GCF of Fractions for 2153/404, 7149/4261 is 1/1721444.