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GCF of 136/11, 422/401

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 136/11, 422/401 i.e 2/4411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/11, 422/401.

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 136/11,422/401?

Given fractions are 136/11,422/401

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 136/11,422/401, numerators are 136,422

Denominators are 11,401

The GCF of 136,422 is 2 .

LCM of 11,401 is 4411.

The greatest common factor of 136/11,422/401 = [GCF of 136,422]/[LCM of 11,401]= 2/4411

Therefore, the GCF of 136/11,422/401 is 2/4411.

Greatest Common Factor of 136,422

To find the highest common factor of 136,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136

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

The HCF of 136,422 is 2.

Lets's calculate GCF of 136,422

Greatest Common Factor (GCF) of 136,422 By Common Division

2 136, 422
68, 211

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

Greatest Common Factor of 136,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,422 By Matching Biggest Common Factor Method

Now, list down the factors of 136

:

1,2,4,8,17,34,68,136

Now, list down the factors of 422

:

1,2,211,422

Greatest Common Factor

We found the factors 136,422 . The biggest common factor number is the GCF number.
So the greatest common factor 136,422 is 2.

Lets's calculate LCM of 11,401

Lowest Common Multiple of 11,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4411

Therefore, the GCF of Fractions 136/11,422/401 is 2/4411

Least Common Multiple of 11,401 with GCF Formula

Least Common Multiple of 11,401 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 11,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,401) = 1

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

GCF(11,401) x common factors =1 x 1 = 1

LCM(11,401) = ( 11 × 401 ) / 1

LCM(11,401) = 4411 / 1

LCM(11,401) = 4411


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FAQs on GCF of Fractions of 136/11, 422/401

1. What is the HCF of 136,422?

The HCF of 136,422 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 136/11, 422/401?

Answer: GCF of Numerators as per given numbers 136/11, 422/401 is

GCF of Numerators i.e. for 136,422 is 2

LCM of denominators i.e. for 11,401 is 4411.

Thus, GCF of Fractions is 2/4411.Finally, GCF of Fractions for 136/11, 422/401 is 2/4411.