How to Find GCF of 994/72, 856/17, 877/71?

GCF of 994/72, 856/17, 877/71

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 994/72, 856/17, 877/71 i.e 1/86904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/72, 856/17, 877/71.

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 994/72,856/17,877/71?

Given fractions are 994/72,856/17,877/71

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 994/72,856/17,877/71, numerators are 994,856,877

Denominators are 72,17,71

The GCF of 994,856,877 is 1 .

LCM of 72,17,71 is 86904.

The greatest common factor of 994/72,856/17,877/71 = [GCF of 994,856,877]/[LCM of 72,17,71]= 1/86904

Therefore, the GCF of 994/72,856/17,877/71 is 1/86904.

Greatest Common Factor of 994,856,877

To find the highest common factor of 994,856,877, we have to find the factors of both numbers and list the highest common factor.

The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The factors of 877 are 1, 877

The HCF of 994,856,877 is 1.

Lets's calculate GCF of 994,856,877

Greatest Common Factor (GCF) of 994,856,877 By Common Division

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

Greatest Common Factor of 994,856,877 By Matching Biggest Common Factor Method

Now, list down the factors of 994

1,2,7,14,71,142,497,994

Now, list down the factors of 856

1,2,4,8,107,214,428,856

Now, list down the factors of 877

1,877

Greatest Common Factor

We found the factors 994,856,877 . The biggest common factor number is the GCF number.
So the greatest common factor 994,856,877 is 1.

Lets's calculate LCM of 72,17,71

Lowest Common Multiple of 72,17,71 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86904

Therefore, the GCF of Fractions 994/72,856/17,877/71 is 1/86904

Least Common Multiple of 72,17,71 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 72,17,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,17,71) = 1

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

GCF(72,17,71) x common factors =1 x 1 = 1

LCM(72,17,71) = ( 72 × 17 × 71 ) / 1

LCM(72,17,71) = 86904 / 1

LCM(72,17,71) = 86904

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 994/72, 856/17, 877/71

1. What is the HCF of 994,856,877?

The HCF of 994,856,877 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 994/72, 856/17, 877/71?

Answer: GCF of Numerators as per given numbers 994/72, 856/17, 877/71 is

GCF of Numerators i.e. for 994,856,877 is 1

LCM of denominators i.e. for 72,17,71 is 86904.

Thus, GCF of Fractions is 1/86904.Finally, GCF of Fractions for 994/72, 856/17, 877/71 is 1/86904.