How to Find GCF of 26/40, 496/13, 877/331?

GCF of 26/40, 496/13, 877/331

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 26/40, 496/13, 877/331 i.e 1/172120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/40, 496/13, 877/331.

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 26/40,496/13,877/331?

Given fractions are 26/40,496/13,877/331

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 26/40,496/13,877/331, numerators are 26,496,877

Denominators are 40,13,331

The GCF of 26,496,877 is 1 .

LCM of 40,13,331 is 172120.

The greatest common factor of 26/40,496/13,877/331 = [GCF of 26,496,877]/[LCM of 40,13,331]= 1/172120

Therefore, the GCF of 26/40,496/13,877/331 is 1/172120.

Greatest Common Factor of 26,496,877

To find the highest common factor of 26,496,877, we have to find the factors of both numbers and list the highest common factor.

The factors of 26 are 1, 2, 13, 26

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 877 are 1, 877

The HCF of 26,496,877 is 1.

Lets's calculate GCF of 26,496,877

Greatest Common Factor (GCF) of 26,496,877 By Common Division

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

Greatest Common Factor of 26,496,877 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 496

1,2,4,8,16,31,62,124,248,496

Now, list down the factors of 877

1,877

Greatest Common Factor

We found the factors 26,496,877 . The biggest common factor number is the GCF number.
So the greatest common factor 26,496,877 is 1.

Lets's calculate LCM of 40,13,331

Lowest Common Multiple of 40,13,331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 172120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172120

Therefore, the GCF of Fractions 26/40,496/13,877/331 is 1/172120

Least Common Multiple of 40,13,331 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 40,13,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,13,331) = 1

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

GCF(40,13,331) x common factors =1 x 1 = 1

LCM(40,13,331) = ( 40 × 13 × 331 ) / 1

LCM(40,13,331) = 172120 / 1

LCM(40,13,331) = 172120

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FAQs on GCF of Fractions of 26/40, 496/13, 877/331

1. What is the HCF of 26,496,877?

The HCF of 26,496,877 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 26/40, 496/13, 877/331?

Answer: GCF of Numerators as per given numbers 26/40, 496/13, 877/331 is

GCF of Numerators i.e. for 26,496,877 is 1

LCM of denominators i.e. for 40,13,331 is 172120.

Thus, GCF of Fractions is 1/172120.Finally, GCF of Fractions for 26/40, 496/13, 877/331 is 1/172120.