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GCF of 338/892, 406/569

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 338/892, 406/569 i.e 2/507548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 338/892, 406/569.

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 338/892,406/569?

Given fractions are 338/892,406/569

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 338/892,406/569, numerators are 338,406

Denominators are 892,569

The GCF of 338,406 is 2 .

LCM of 892,569 is 507548.

The greatest common factor of 338/892,406/569 = [GCF of 338,406]/[LCM of 892,569]= 2/507548

Therefore, the GCF of 338/892,406/569 is 2/507548.

Greatest Common Factor of 338,406

To find the highest common factor of 338,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 338 are 1, 2, 13, 26, 169, 338

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 338,406 is 2.

Lets's calculate GCF of 338,406

Greatest Common Factor (GCF) of 338,406 By Common Division

2 338, 406
169, 203

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

Greatest Common Factor of 338,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,406 By Matching Biggest Common Factor Method

Now, list down the factors of 338

:

1,2,13,26,169,338

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 338,406 . The biggest common factor number is the GCF number.
So the greatest common factor 338,406 is 2.

Lets's calculate LCM of 892,569

Lowest Common Multiple of 892,569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 507548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/507548

Therefore, the GCF of Fractions 338/892,406/569 is 2/507548

Least Common Multiple of 892,569 with GCF Formula

Least Common Multiple of 892,569 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 892,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,569) = 1

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

GCF(892,569) x common factors =1 x 1 = 1

LCM(892,569) = ( 892 × 569 ) / 1

LCM(892,569) = 507548 / 1

LCM(892,569) = 507548


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FAQs on GCF of Fractions of 338/892, 406/569

1. What is the HCF of 338,406?

The HCF of 338,406 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 338/892, 406/569?

Answer: GCF of Numerators as per given numbers 338/892, 406/569 is

GCF of Numerators i.e. for 338,406 is 2

LCM of denominators i.e. for 892,569 is 507548.

Thus, GCF of Fractions is 2/507548.Finally, GCF of Fractions for 338/892, 406/569 is 2/507548.