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GCF of 404/213, 242/733

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 404/213, 242/733 i.e 2/156129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/213, 242/733.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 404/213,242/733?

Given fractions are 404/213,242/733

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 404/213,242/733, numerators are 404,242

Denominators are 213,733

The GCF of 404,242 is 2 .

LCM of 213,733 is 156129.

The greatest common factor of 404/213,242/733 = [GCF of 404,242]/[LCM of 213,733]= 2/156129

Therefore, the GCF of 404/213,242/733 is 2/156129.

Greatest Common Factor of 404,242

To find the highest common factor of 404,242, we have to find the factors of both numbers and list the highest common factor.

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 242 are 1, 2, 11, 22, 121, 242

The HCF of 404,242 is 2.

Lets's calculate GCF of 404,242

Greatest Common Factor (GCF) of 404,242 By Common Division

2 404, 242
202, 121

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 404,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,242 By Matching Biggest Common Factor Method

Now, list down the factors of 404

:

1,2,4,101,202,404

Now, list down the factors of 242

:

1,2,11,22,121,242

Greatest Common Factor

We found the factors 404,242 . The biggest common factor number is the GCF number.
So the greatest common factor 404,242 is 2.

Lets's calculate LCM of 213,733

Lowest Common Multiple of 213,733 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 156129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/156129

Therefore, the GCF of Fractions 404/213,242/733 is 2/156129

Least Common Multiple of 213,733 with GCF Formula

Least Common Multiple of 213,733 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 213,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,733) = 1

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

GCF(213,733) x common factors =1 x 1 = 1

LCM(213,733) = ( 213 × 733 ) / 1

LCM(213,733) = 156129 / 1

LCM(213,733) = 156129


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FAQs on GCF of Fractions of 404/213, 242/733

1. What is the HCF of 404,242?

The HCF of 404,242 is 2

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 404/213, 242/733?

Answer: GCF of Numerators as per given numbers 404/213, 242/733 is

GCF of Numerators i.e. for 404,242 is 2

LCM of denominators i.e. for 213,733 is 156129.

Thus, GCF of Fractions is 2/156129.Finally, GCF of Fractions for 404/213, 242/733 is 2/156129.