How to Find GCF of 550/58, 409/61, 634/90?

GCF of 550/58, 409/61, 634/90

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 550/58, 409/61, 634/90 i.e 1/159210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/58, 409/61, 634/90.

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 550/58,409/61,634/90?

Given fractions are 550/58,409/61,634/90

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 550/58,409/61,634/90, numerators are 550,409,634

Denominators are 58,61,90

The GCF of 550,409,634 is 1 .

LCM of 58,61,90 is 159210.

The greatest common factor of 550/58,409/61,634/90 = [GCF of 550,409,634]/[LCM of 58,61,90]= 1/159210

Therefore, the GCF of 550/58,409/61,634/90 is 1/159210.

Greatest Common Factor of 550,409,634

To find the highest common factor of 550,409,634, we have to find the factors of both numbers and list the highest common factor.

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

The factors of 409 are 1, 409

The factors of 634 are 1, 2, 317, 634

The HCF of 550,409,634 is 1.

Lets's calculate GCF of 550,409,634

Greatest Common Factor (GCF) of 550,409,634 By Common Division

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

Greatest Common Factor of 550,409,634 By Matching Biggest Common Factor Method

Now, list down the factors of 550

1,2,5,10,11,22,25,50,55,110,275,550

Now, list down the factors of 409

1,409

Now, list down the factors of 634

1,2,317,634

Greatest Common Factor

We found the factors 550,409,634 . The biggest common factor number is the GCF number.
So the greatest common factor 550,409,634 is 1.

Lets's calculate LCM of 58,61,90

Lowest Common Multiple of 58,61,90 using Common Division

2	58, 61, 90
	29, 61, 45

∴ So the LCM of the given numbers is 2 x 29 x 61 x 45 = 159210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159210

Therefore, the GCF of Fractions 550/58,409/61,634/90 is 1/159210

Least Common Multiple of 58,61,90 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 58,61,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,61,90) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,61,90) x common factors =1 x 2 = 2

LCM(58,61,90) = ( 58 × 61 × 90 ) / 2

LCM(58,61,90) = 318420 / 2

LCM(58,61,90) = 159210

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 550/58, 409/61, 634/90

1. What is the HCF of 550,409,634?

The HCF of 550,409,634 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 550/58, 409/61, 634/90?

Answer: GCF of Numerators as per given numbers 550/58, 409/61, 634/90 is

GCF of Numerators i.e. for 550,409,634 is 1

LCM of denominators i.e. for 58,61,90 is 159210.

Thus, GCF of Fractions is 1/159210.Finally, GCF of Fractions for 550/58, 409/61, 634/90 is 1/159210.