How to Find GCF of 30/11, 110/51, 301/652?

GCF of 30/11, 110/51, 301/652

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 30/11, 110/51, 301/652 i.e 1/365772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/11, 110/51, 301/652.

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 30/11,110/51,301/652?

Given fractions are 30/11,110/51,301/652

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 30/11,110/51,301/652, numerators are 30,110,301

Denominators are 11,51,652

The GCF of 30,110,301 is 1 .

LCM of 11,51,652 is 365772.

The greatest common factor of 30/11,110/51,301/652 = [GCF of 30,110,301]/[LCM of 11,51,652]= 1/365772

Therefore, the GCF of 30/11,110/51,301/652 is 1/365772.

Greatest Common Factor of 30,110,301

To find the highest common factor of 30,110,301, 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 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 301 are 1, 7, 43, 301

The HCF of 30,110,301 is 1.

Lets's calculate GCF of 30,110,301

Greatest Common Factor (GCF) of 30,110,301 By Common Division

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

Greatest Common Factor of 30,110,301 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 110

1,2,5,10,11,22,55,110

Now, list down the factors of 301

1,7,43,301

Greatest Common Factor

We found the factors 30,110,301 . The biggest common factor number is the GCF number.
So the greatest common factor 30,110,301 is 1.

Lets's calculate LCM of 11,51,652

Lowest Common Multiple of 11,51,652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 365772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365772

Therefore, the GCF of Fractions 30/11,110/51,301/652 is 1/365772

Least Common Multiple of 11,51,652 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 11,51,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,51,652) = 1

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

GCF(11,51,652) x common factors =1 x 1 = 1

LCM(11,51,652) = ( 11 × 51 × 652 ) / 1

LCM(11,51,652) = 365772 / 1

LCM(11,51,652) = 365772

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/11, 110/51, 301/652

1. What is the HCF of 30,110,301?

The HCF of 30,110,301 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 30/11, 110/51, 301/652?

Answer: GCF of Numerators as per given numbers 30/11, 110/51, 301/652 is

GCF of Numerators i.e. for 30,110,301 is 1

LCM of denominators i.e. for 11,51,652 is 365772.

Thus, GCF of Fractions is 1/365772.Finally, GCF of Fractions for 30/11, 110/51, 301/652 is 1/365772.