How to Find GCF of 90/23, 26/562, 659/468?

GCF of 90/23, 26/562, 659/468

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 90/23, 26/562, 659/468 i.e 1/3024684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/23, 26/562, 659/468.

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 90/23,26/562,659/468?

Given fractions are 90/23,26/562,659/468

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 90/23,26/562,659/468, numerators are 90,26,659

Denominators are 23,562,468

The GCF of 90,26,659 is 1 .

LCM of 23,562,468 is 3024684.

The greatest common factor of 90/23,26/562,659/468 = [GCF of 90,26,659]/[LCM of 23,562,468]= 1/3024684

Therefore, the GCF of 90/23,26/562,659/468 is 1/3024684.

Greatest Common Factor of 90,26,659

To find the highest common factor of 90,26,659, 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 26 are 1, 2, 13, 26

The factors of 659 are 1, 659

The HCF of 90,26,659 is 1.

Lets's calculate GCF of 90,26,659

Greatest Common Factor (GCF) of 90,26,659 By Common Division

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

Greatest Common Factor of 90,26,659 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 26

1,2,13,26

Now, list down the factors of 659

1,659

Greatest Common Factor

We found the factors 90,26,659 . The biggest common factor number is the GCF number.
So the greatest common factor 90,26,659 is 1.

Lets's calculate LCM of 23,562,468

Lowest Common Multiple of 23,562,468 using Common Division

2	23, 562, 468
	23, 281, 234

∴ So the LCM of the given numbers is 2 x 23 x 281 x 234 = 3024684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3024684

Therefore, the GCF of Fractions 90/23,26/562,659/468 is 1/3024684

Least Common Multiple of 23,562,468 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 23,562,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,562,468) = 1

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

GCF(23,562,468) x common factors =1 x 2 = 2

LCM(23,562,468) = ( 23 × 562 × 468 ) / 2

LCM(23,562,468) = 6049368 / 2

LCM(23,562,468) = 3024684

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 90/23, 26/562, 659/468

1. What is the HCF of 90,26,659?

The HCF of 90,26,659 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 90/23, 26/562, 659/468?

Answer: GCF of Numerators as per given numbers 90/23, 26/562, 659/468 is

GCF of Numerators i.e. for 90,26,659 is 1

LCM of denominators i.e. for 23,562,468 is 3024684.

Thus, GCF of Fractions is 1/3024684.Finally, GCF of Fractions for 90/23, 26/562, 659/468 is 1/3024684.