How to Find GCF of 41/906, 65/859, 905/233?

GCF of 41/906, 65/859, 905/233

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 41/906, 65/859, 905/233 i.e 1/181333182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/906, 65/859, 905/233.

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 41/906,65/859,905/233?

Given fractions are 41/906,65/859,905/233

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 41/906,65/859,905/233, numerators are 41,65,905

Denominators are 906,859,233

The GCF of 41,65,905 is 1 .

LCM of 906,859,233 is 181333182.

The greatest common factor of 41/906,65/859,905/233 = [GCF of 41,65,905]/[LCM of 906,859,233]= 1/181333182

Therefore, the GCF of 41/906,65/859,905/233 is 1/181333182.

Greatest Common Factor of 41,65,905

To find the highest common factor of 41,65,905, we have to find the factors of both numbers and list the highest common factor.

The factors of 41 are 1, 41

The factors of 65 are 1, 5, 13, 65

The factors of 905 are 1, 5, 181, 905

The HCF of 41,65,905 is 1.

Lets's calculate GCF of 41,65,905

Greatest Common Factor (GCF) of 41,65,905 By Common Division

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

Greatest Common Factor of 41,65,905 By Matching Biggest Common Factor Method

Now, list down the factors of 41

1,41

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 905

1,5,181,905

Greatest Common Factor

We found the factors 41,65,905 . The biggest common factor number is the GCF number.
So the greatest common factor 41,65,905 is 1.

Lets's calculate LCM of 906,859,233

Lowest Common Multiple of 906,859,233 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 181333182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181333182

Therefore, the GCF of Fractions 41/906,65/859,905/233 is 1/181333182

Least Common Multiple of 906,859,233 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 906,859,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,859,233) = 1

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

GCF(906,859,233) x common factors =1 x 1 = 1

LCM(906,859,233) = ( 906 × 859 × 233 ) / 1

LCM(906,859,233) = 181333182 / 1

LCM(906,859,233) = 181333182

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 41/906, 65/859, 905/233

1. What is the HCF of 41,65,905?

The HCF of 41,65,905 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 41/906, 65/859, 905/233?

Answer: GCF of Numerators as per given numbers 41/906, 65/859, 905/233 is

GCF of Numerators i.e. for 41,65,905 is 1

LCM of denominators i.e. for 906,859,233 is 181333182.

Thus, GCF of Fractions is 1/181333182.Finally, GCF of Fractions for 41/906, 65/859, 905/233 is 1/181333182.