How to Find GCF of 40/156, 17/133, 874/878?

GCF of 40/156, 17/133, 874/878

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 40/156, 17/133, 874/878 i.e 1/9108372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/156, 17/133, 874/878.

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 40/156,17/133,874/878?

Given fractions are 40/156,17/133,874/878

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 40/156,17/133,874/878, numerators are 40,17,874

Denominators are 156,133,878

The GCF of 40,17,874 is 1 .

LCM of 156,133,878 is 9108372.

The greatest common factor of 40/156,17/133,874/878 = [GCF of 40,17,874]/[LCM of 156,133,878]= 1/9108372

Therefore, the GCF of 40/156,17/133,874/878 is 1/9108372.

Greatest Common Factor of 40,17,874

To find the highest common factor of 40,17,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 17 are 1, 17

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 40,17,874 is 1.

Lets's calculate GCF of 40,17,874

Greatest Common Factor (GCF) of 40,17,874 By Common Division

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

Greatest Common Factor of 40,17,874 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 17

1,17

Now, list down the factors of 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 40,17,874 . The biggest common factor number is the GCF number.
So the greatest common factor 40,17,874 is 1.

Lets's calculate LCM of 156,133,878

Lowest Common Multiple of 156,133,878 using Common Division

2	156, 133, 878
	78, 133, 439

∴ So the LCM of the given numbers is 2 x 78 x 133 x 439 = 9108372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9108372

Therefore, the GCF of Fractions 40/156,17/133,874/878 is 1/9108372

Least Common Multiple of 156,133,878 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 156,133,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,133,878) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(156,133,878) x common factors =1 x 2 = 2

LCM(156,133,878) = ( 156 × 133 × 878 ) / 2

LCM(156,133,878) = 18216744 / 2

LCM(156,133,878) = 9108372

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 40/156, 17/133, 874/878

1. What is the HCF of 40,17,874?

The HCF of 40,17,874 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 40/156, 17/133, 874/878?

Answer: GCF of Numerators as per given numbers 40/156, 17/133, 874/878 is

GCF of Numerators i.e. for 40,17,874 is 1

LCM of denominators i.e. for 156,133,878 is 9108372.

Thus, GCF of Fractions is 1/9108372.Finally, GCF of Fractions for 40/156, 17/133, 874/878 is 1/9108372.