How to Find GCF of 65/23, 82/53, 897/850?

GCF of 65/23, 82/53, 897/850

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 65/23, 82/53, 897/850 i.e 1/1036150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/23, 82/53, 897/850.

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 65/23,82/53,897/850?

Given fractions are 65/23,82/53,897/850

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 65/23,82/53,897/850, numerators are 65,82,897

Denominators are 23,53,850

The GCF of 65,82,897 is 1 .

LCM of 23,53,850 is 1036150.

The greatest common factor of 65/23,82/53,897/850 = [GCF of 65,82,897]/[LCM of 23,53,850]= 1/1036150

Therefore, the GCF of 65/23,82/53,897/850 is 1/1036150.

Greatest Common Factor of 65,82,897

To find the highest common factor of 65,82,897, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 82 are 1, 2, 41, 82

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897

The HCF of 65,82,897 is 1.

Lets's calculate GCF of 65,82,897

Greatest Common Factor (GCF) of 65,82,897 By Common Division

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

Greatest Common Factor of 65,82,897 By Matching Biggest Common Factor Method

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 897

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 65,82,897 . The biggest common factor number is the GCF number.
So the greatest common factor 65,82,897 is 1.

Lets's calculate LCM of 23,53,850

Lowest Common Multiple of 23,53,850 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036150

Therefore, the GCF of Fractions 65/23,82/53,897/850 is 1/1036150

Least Common Multiple of 23,53,850 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 23,53,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,53,850) = 1

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

GCF(23,53,850) x common factors =1 x 1 = 1

LCM(23,53,850) = ( 23 × 53 × 850 ) / 1

LCM(23,53,850) = 1036150 / 1

LCM(23,53,850) = 1036150

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FAQs on GCF of Fractions of 65/23, 82/53, 897/850

1. What is the HCF of 65,82,897?

The HCF of 65,82,897 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 65/23, 82/53, 897/850?

Answer: GCF of Numerators as per given numbers 65/23, 82/53, 897/850 is

GCF of Numerators i.e. for 65,82,897 is 1

LCM of denominators i.e. for 23,53,850 is 1036150.

Thus, GCF of Fractions is 1/1036150.Finally, GCF of Fractions for 65/23, 82/53, 897/850 is 1/1036150.