How to Find GCF of 30/259, 65/683, 163/114?

GCF of 30/259, 65/683, 163/114

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 30/259, 65/683, 163/114 i.e 1/20166258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/259, 65/683, 163/114.

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 30/259,65/683,163/114?

Given fractions are 30/259,65/683,163/114

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 30/259,65/683,163/114, numerators are 30,65,163

Denominators are 259,683,114

The GCF of 30,65,163 is 1 .

LCM of 259,683,114 is 20166258.

The greatest common factor of 30/259,65/683,163/114 = [GCF of 30,65,163]/[LCM of 259,683,114]= 1/20166258

Therefore, the GCF of 30/259,65/683,163/114 is 1/20166258.

Greatest Common Factor of 30,65,163

To find the highest common factor of 30,65,163, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

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

The factors of 163 are 1, 163

The HCF of 30,65,163 is 1.

Lets's calculate GCF of 30,65,163

Greatest Common Factor (GCF) of 30,65,163 By Common Division

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

Greatest Common Factor of 30,65,163 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 163

1,163

Greatest Common Factor

We found the factors 30,65,163 . The biggest common factor number is the GCF number.
So the greatest common factor 30,65,163 is 1.

Lets's calculate LCM of 259,683,114

Lowest Common Multiple of 259,683,114 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20166258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20166258

Therefore, the GCF of Fractions 30/259,65/683,163/114 is 1/20166258

Least Common Multiple of 259,683,114 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 259,683,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,683,114) = 1

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

GCF(259,683,114) x common factors =1 x 1 = 1

LCM(259,683,114) = ( 259 × 683 × 114 ) / 1

LCM(259,683,114) = 20166258 / 1

LCM(259,683,114) = 20166258

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FAQs on GCF of Fractions of 30/259, 65/683, 163/114

1. What is the HCF of 30,65,163?

The HCF of 30,65,163 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 30/259, 65/683, 163/114?

Answer: GCF of Numerators as per given numbers 30/259, 65/683, 163/114 is

GCF of Numerators i.e. for 30,65,163 is 1

LCM of denominators i.e. for 259,683,114 is 20166258.

Thus, GCF of Fractions is 1/20166258.Finally, GCF of Fractions for 30/259, 65/683, 163/114 is 1/20166258.