How to Find GCF of 10/65, 433/67, 261/389?

GCF of 10/65, 433/67, 261/389

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 10/65, 433/67, 261/389 i.e 1/1694095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/65, 433/67, 261/389.

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 10/65,433/67,261/389?

Given fractions are 10/65,433/67,261/389

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 10/65,433/67,261/389, numerators are 10,433,261

Denominators are 65,67,389

The GCF of 10,433,261 is 1 .

LCM of 65,67,389 is 1694095.

The greatest common factor of 10/65,433/67,261/389 = [GCF of 10,433,261]/[LCM of 65,67,389]= 1/1694095

Therefore, the GCF of 10/65,433/67,261/389 is 1/1694095.

Greatest Common Factor of 10,433,261

To find the highest common factor of 10,433,261, we have to find the factors of both numbers and list the highest common factor.

The factors of 10 are 1, 2, 5, 10

The factors of 433 are 1, 433

The factors of 261 are 1, 3, 9, 29, 87, 261

The HCF of 10,433,261 is 1.

Lets's calculate GCF of 10,433,261

Greatest Common Factor (GCF) of 10,433,261 By Common Division

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

Greatest Common Factor of 10,433,261 By Matching Biggest Common Factor Method

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 433

1,433

Now, list down the factors of 261

1,3,9,29,87,261

Greatest Common Factor

We found the factors 10,433,261 . The biggest common factor number is the GCF number.
So the greatest common factor 10,433,261 is 1.

Lets's calculate LCM of 65,67,389

Lowest Common Multiple of 65,67,389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1694095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1694095

Therefore, the GCF of Fractions 10/65,433/67,261/389 is 1/1694095

Least Common Multiple of 65,67,389 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 65,67,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,67,389) = 1

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

GCF(65,67,389) x common factors =1 x 1 = 1

LCM(65,67,389) = ( 65 × 67 × 389 ) / 1

LCM(65,67,389) = 1694095 / 1

LCM(65,67,389) = 1694095

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FAQs on GCF of Fractions of 10/65, 433/67, 261/389

1. What is the HCF of 10,433,261?

The HCF of 10,433,261 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 10/65, 433/67, 261/389?

Answer: GCF of Numerators as per given numbers 10/65, 433/67, 261/389 is

GCF of Numerators i.e. for 10,433,261 is 1

LCM of denominators i.e. for 65,67,389 is 1694095.

Thus, GCF of Fractions is 1/1694095.Finally, GCF of Fractions for 10/65, 433/67, 261/389 is 1/1694095.