How to Find GCF of 911/73, 940/17, 376/506?

GCF of 911/73, 940/17, 376/506

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 911/73, 940/17, 376/506 i.e 1/627946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/73, 940/17, 376/506.

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 911/73,940/17,376/506?

Given fractions are 911/73,940/17,376/506

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 911/73,940/17,376/506, numerators are 911,940,376

Denominators are 73,17,506

The GCF of 911,940,376 is 1 .

LCM of 73,17,506 is 627946.

The greatest common factor of 911/73,940/17,376/506 = [GCF of 911,940,376]/[LCM of 73,17,506]= 1/627946

Therefore, the GCF of 911/73,940/17,376/506 is 1/627946.

Greatest Common Factor of 911,940,376

To find the highest common factor of 911,940,376, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376

The HCF of 911,940,376 is 1.

Lets's calculate GCF of 911,940,376

Greatest Common Factor (GCF) of 911,940,376 By Common Division

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

Greatest Common Factor of 911,940,376 By Matching Biggest Common Factor Method

Now, list down the factors of 911

1,911

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 376

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 911,940,376 . The biggest common factor number is the GCF number.
So the greatest common factor 911,940,376 is 1.

Lets's calculate LCM of 73,17,506

Lowest Common Multiple of 73,17,506 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 627946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627946

Therefore, the GCF of Fractions 911/73,940/17,376/506 is 1/627946

Least Common Multiple of 73,17,506 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 73,17,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,17,506) = 1

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

GCF(73,17,506) x common factors =1 x 1 = 1

LCM(73,17,506) = ( 73 × 17 × 506 ) / 1

LCM(73,17,506) = 627946 / 1

LCM(73,17,506) = 627946

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 911/73, 940/17, 376/506

1. What is the HCF of 911,940,376?

The HCF of 911,940,376 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 911/73, 940/17, 376/506?

Answer: GCF of Numerators as per given numbers 911/73, 940/17, 376/506 is

GCF of Numerators i.e. for 911,940,376 is 1

LCM of denominators i.e. for 73,17,506 is 627946.

Thus, GCF of Fractions is 1/627946.Finally, GCF of Fractions for 911/73, 940/17, 376/506 is 1/627946.