How to Find GCF of 90/58, 282/38, 805/113?

GCF of 90/58, 282/38, 805/113

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 90/58, 282/38, 805/113 i.e 1/124526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/58, 282/38, 805/113.

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 90/58,282/38,805/113?

Given fractions are 90/58,282/38,805/113

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 90/58,282/38,805/113, numerators are 90,282,805

Denominators are 58,38,113

The GCF of 90,282,805 is 1 .

LCM of 58,38,113 is 124526.

The greatest common factor of 90/58,282/38,805/113 = [GCF of 90,282,805]/[LCM of 58,38,113]= 1/124526

Therefore, the GCF of 90/58,282/38,805/113 is 1/124526.

Greatest Common Factor of 90,282,805

To find the highest common factor of 90,282,805, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The HCF of 90,282,805 is 1.

Lets's calculate GCF of 90,282,805

Greatest Common Factor (GCF) of 90,282,805 By Common Division

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

Greatest Common Factor of 90,282,805 By Matching Biggest Common Factor Method

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 282

1,2,3,6,47,94,141,282

Now, list down the factors of 805

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 90,282,805 . The biggest common factor number is the GCF number.
So the greatest common factor 90,282,805 is 1.

Lets's calculate LCM of 58,38,113

Lowest Common Multiple of 58,38,113 using Common Division

2	58, 38, 113
	29, 19, 113

∴ So the LCM of the given numbers is 2 x 29 x 19 x 113 = 124526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124526

Therefore, the GCF of Fractions 90/58,282/38,805/113 is 1/124526

Least Common Multiple of 58,38,113 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 58,38,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,38,113) = 1

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

GCF(58,38,113) x common factors =1 x 2 = 2

LCM(58,38,113) = ( 58 × 38 × 113 ) / 2

LCM(58,38,113) = 249052 / 2

LCM(58,38,113) = 124526

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 90/58, 282/38, 805/113

1. What is the HCF of 90,282,805?

The HCF of 90,282,805 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 90/58, 282/38, 805/113?

Answer: GCF of Numerators as per given numbers 90/58, 282/38, 805/113 is

GCF of Numerators i.e. for 90,282,805 is 1

LCM of denominators i.e. for 58,38,113 is 124526.

Thus, GCF of Fractions is 1/124526.Finally, GCF of Fractions for 90/58, 282/38, 805/113 is 1/124526.