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GCF of 422/53, 258/336

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 422/53, 258/336 i.e 2/17808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/53, 258/336.

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 422/53,258/336?

Given fractions are 422/53,258/336

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 422/53,258/336, numerators are 422,258

Denominators are 53,336

The GCF of 422,258 is 2 .

LCM of 53,336 is 17808.

The greatest common factor of 422/53,258/336 = [GCF of 422,258]/[LCM of 53,336]= 2/17808

Therefore, the GCF of 422/53,258/336 is 2/17808.

Greatest Common Factor of 422,258

To find the highest common factor of 422,258, we have to find the factors of both numbers and list the highest common factor.

The factors of 422 are 1, 2, 211, 422

The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258

The HCF of 422,258 is 2.

Lets's calculate GCF of 422,258

Greatest Common Factor (GCF) of 422,258 By Common Division

2 422, 258
211, 129

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

Greatest Common Factor of 422,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,258 By Matching Biggest Common Factor Method

Now, list down the factors of 422

:

1,2,211,422

Now, list down the factors of 258

:

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 422,258 . The biggest common factor number is the GCF number.
So the greatest common factor 422,258 is 2.

Lets's calculate LCM of 53,336

Lowest Common Multiple of 53,336 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17808

Therefore, the GCF of Fractions 422/53,258/336 is 2/17808

Least Common Multiple of 53,336 with GCF Formula

Least Common Multiple of 53,336 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 53,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,336) = 1

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

GCF(53,336) x common factors =1 x 1 = 1

LCM(53,336) = ( 53 × 336 ) / 1

LCM(53,336) = 17808 / 1

LCM(53,336) = 17808


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FAQs on GCF of Fractions of 422/53, 258/336

1. What is the HCF of 422,258?

The HCF of 422,258 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 422/53, 258/336?

Answer: GCF of Numerators as per given numbers 422/53, 258/336 is

GCF of Numerators i.e. for 422,258 is 2

LCM of denominators i.e. for 53,336 is 17808.

Thus, GCF of Fractions is 2/17808.Finally, GCF of Fractions for 422/53, 258/336 is 2/17808.