How to Find GCF of 17/936, 877/437, 811/571?

GCF of 17/936, 877/437, 811/571

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 17/936, 877/437, 811/571 i.e 1/233557272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/936, 877/437, 811/571.

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 17/936,877/437,811/571?

Given fractions are 17/936,877/437,811/571

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 17/936,877/437,811/571, numerators are 17,877,811

Denominators are 936,437,571

The GCF of 17,877,811 is 1 .

LCM of 936,437,571 is 233557272.

The greatest common factor of 17/936,877/437,811/571 = [GCF of 17,877,811]/[LCM of 936,437,571]= 1/233557272

Therefore, the GCF of 17/936,877/437,811/571 is 1/233557272.

Greatest Common Factor of 17,877,811

To find the highest common factor of 17,877,811, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 877 are 1, 877

The factors of 811 are 1, 811

The HCF of 17,877,811 is 1.

Lets's calculate GCF of 17,877,811

Greatest Common Factor (GCF) of 17,877,811 By Common Division

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

Greatest Common Factor of 17,877,811 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 877

1,877

Now, list down the factors of 811

1,811

Greatest Common Factor

We found the factors 17,877,811 . The biggest common factor number is the GCF number.
So the greatest common factor 17,877,811 is 1.

Lets's calculate LCM of 936,437,571

Lowest Common Multiple of 936,437,571 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 233557272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233557272

Therefore, the GCF of Fractions 17/936,877/437,811/571 is 1/233557272

Least Common Multiple of 936,437,571 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 936,437,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,437,571) = 1

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

GCF(936,437,571) x common factors =1 x 1 = 1

LCM(936,437,571) = ( 936 × 437 × 571 ) / 1

LCM(936,437,571) = 233557272 / 1

LCM(936,437,571) = 233557272

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FAQs on GCF of Fractions of 17/936, 877/437, 811/571

1. What is the HCF of 17,877,811?

The HCF of 17,877,811 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 17/936, 877/437, 811/571?

Answer: GCF of Numerators as per given numbers 17/936, 877/437, 811/571 is

GCF of Numerators i.e. for 17,877,811 is 1

LCM of denominators i.e. for 936,437,571 is 233557272.

Thus, GCF of Fractions is 1/233557272.Finally, GCF of Fractions for 17/936, 877/437, 811/571 is 1/233557272.