How to Find GCF of 121/53, 401/83, 488/24?

GCF of 121/53, 401/83, 488/24

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 121/53, 401/83, 488/24 i.e 1/105576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/53, 401/83, 488/24.

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 121/53,401/83,488/24?

Given fractions are 121/53,401/83,488/24

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 121/53,401/83,488/24, numerators are 121,401,488

Denominators are 53,83,24

The GCF of 121,401,488 is 1 .

LCM of 53,83,24 is 105576.

The greatest common factor of 121/53,401/83,488/24 = [GCF of 121,401,488]/[LCM of 53,83,24]= 1/105576

Therefore, the GCF of 121/53,401/83,488/24 is 1/105576.

Greatest Common Factor of 121,401,488

To find the highest common factor of 121,401,488, we have to find the factors of both numbers and list the highest common factor.

The factors of 121 are 1, 11, 121

The factors of 401 are 1, 401

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The HCF of 121,401,488 is 1.

Lets's calculate GCF of 121,401,488

Greatest Common Factor (GCF) of 121,401,488 By Common Division

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

Greatest Common Factor of 121,401,488 By Matching Biggest Common Factor Method

Now, list down the factors of 121

1,11,121

Now, list down the factors of 401

1,401

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 121,401,488 . The biggest common factor number is the GCF number.
So the greatest common factor 121,401,488 is 1.

Lets's calculate LCM of 53,83,24

Lowest Common Multiple of 53,83,24 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 105576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105576

Therefore, the GCF of Fractions 121/53,401/83,488/24 is 1/105576

Least Common Multiple of 53,83,24 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 53,83,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,83,24) = 1

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

GCF(53,83,24) x common factors =1 x 1 = 1

LCM(53,83,24) = ( 53 × 83 × 24 ) / 1

LCM(53,83,24) = 105576 / 1

LCM(53,83,24) = 105576

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FAQs on GCF of Fractions of 121/53, 401/83, 488/24

1. What is the HCF of 121,401,488?

The HCF of 121,401,488 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 121/53, 401/83, 488/24?

Answer: GCF of Numerators as per given numbers 121/53, 401/83, 488/24 is

GCF of Numerators i.e. for 121,401,488 is 1

LCM of denominators i.e. for 53,83,24 is 105576.

Thus, GCF of Fractions is 1/105576.Finally, GCF of Fractions for 121/53, 401/83, 488/24 is 1/105576.