How to Find GCF of 908/53, 181/80, 559/83?

GCF of 908/53, 181/80, 559/83

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 908/53, 181/80, 559/83 i.e 1/351920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/53, 181/80, 559/83.

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 908/53,181/80,559/83?

Given fractions are 908/53,181/80,559/83

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 908/53,181/80,559/83, numerators are 908,181,559

Denominators are 53,80,83

The GCF of 908,181,559 is 1 .

LCM of 53,80,83 is 351920.

The greatest common factor of 908/53,181/80,559/83 = [GCF of 908,181,559]/[LCM of 53,80,83]= 1/351920

Therefore, the GCF of 908/53,181/80,559/83 is 1/351920.

Greatest Common Factor of 908,181,559

To find the highest common factor of 908,181,559, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 181 are 1, 181

The factors of 559 are 1, 13, 43, 559

The HCF of 908,181,559 is 1.

Lets's calculate GCF of 908,181,559

Greatest Common Factor (GCF) of 908,181,559 By Common Division

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

Greatest Common Factor of 908,181,559 By Matching Biggest Common Factor Method

Now, list down the factors of 908

1,2,4,227,454,908

Now, list down the factors of 181

1,181

Now, list down the factors of 559

1,13,43,559

Greatest Common Factor

We found the factors 908,181,559 . The biggest common factor number is the GCF number.
So the greatest common factor 908,181,559 is 1.

Lets's calculate LCM of 53,80,83

Lowest Common Multiple of 53,80,83 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 351920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351920

Therefore, the GCF of Fractions 908/53,181/80,559/83 is 1/351920

Least Common Multiple of 53,80,83 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 53,80,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,80,83) = 1

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

GCF(53,80,83) x common factors =1 x 1 = 1

LCM(53,80,83) = ( 53 × 80 × 83 ) / 1

LCM(53,80,83) = 351920 / 1

LCM(53,80,83) = 351920

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FAQs on GCF of Fractions of 908/53, 181/80, 559/83

1. What is the HCF of 908,181,559?

The HCF of 908,181,559 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 908/53, 181/80, 559/83?

Answer: GCF of Numerators as per given numbers 908/53, 181/80, 559/83 is

GCF of Numerators i.e. for 908,181,559 is 1

LCM of denominators i.e. for 53,80,83 is 351920.

Thus, GCF of Fractions is 1/351920.Finally, GCF of Fractions for 908/53, 181/80, 559/83 is 1/351920.