How to Find GCF of 69/491, 28/786, 571/363?

GCF of 69/491, 28/786, 571/363

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 69/491, 28/786, 571/363 i.e 1/46697046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/491, 28/786, 571/363.

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 69/491,28/786,571/363?

Given fractions are 69/491,28/786,571/363

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 69/491,28/786,571/363, numerators are 69,28,571

Denominators are 491,786,363

The GCF of 69,28,571 is 1 .

LCM of 491,786,363 is 46697046.

The greatest common factor of 69/491,28/786,571/363 = [GCF of 69,28,571]/[LCM of 491,786,363]= 1/46697046

Therefore, the GCF of 69/491,28/786,571/363 is 1/46697046.

Greatest Common Factor of 69,28,571

To find the highest common factor of 69,28,571, we have to find the factors of both numbers and list the highest common factor.

The factors of 69 are 1, 3, 23, 69

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 571 are 1, 571

The HCF of 69,28,571 is 1.

Lets's calculate GCF of 69,28,571

Greatest Common Factor (GCF) of 69,28,571 By Common Division

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

Greatest Common Factor of 69,28,571 By Matching Biggest Common Factor Method

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 571

1,571

Greatest Common Factor

We found the factors 69,28,571 . The biggest common factor number is the GCF number.
So the greatest common factor 69,28,571 is 1.

Lets's calculate LCM of 491,786,363

Lowest Common Multiple of 491,786,363 using Common Division

3	491, 786, 363
	491, 262, 121

∴ So the LCM of the given numbers is 3 x 491 x 262 x 121 = 46697046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46697046

Therefore, the GCF of Fractions 69/491,28/786,571/363 is 1/46697046

Least Common Multiple of 491,786,363 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 491,786,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,786,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(491,786,363) x common factors =1 x 3 = 3

LCM(491,786,363) = ( 491 × 786 × 363 ) / 3

LCM(491,786,363) = 140091138 / 3

LCM(491,786,363) = 46697046

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 69/491, 28/786, 571/363

1. What is the HCF of 69,28,571?

The HCF of 69,28,571 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 69/491, 28/786, 571/363?

Answer: GCF of Numerators as per given numbers 69/491, 28/786, 571/363 is

GCF of Numerators i.e. for 69,28,571 is 1

LCM of denominators i.e. for 491,786,363 is 46697046.

Thus, GCF of Fractions is 1/46697046.Finally, GCF of Fractions for 69/491, 28/786, 571/363 is 1/46697046.