How to Find GCF of 71/586, 502/579, 569/766?

GCF of 71/586, 502/579, 569/766

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 71/586, 502/579, 569/766 i.e 1/129949602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/586, 502/579, 569/766.

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 71/586,502/579,569/766?

Given fractions are 71/586,502/579,569/766

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 71/586,502/579,569/766, numerators are 71,502,569

Denominators are 586,579,766

The GCF of 71,502,569 is 1 .

LCM of 586,579,766 is 129949602.

The greatest common factor of 71/586,502/579,569/766 = [GCF of 71,502,569]/[LCM of 586,579,766]= 1/129949602

Therefore, the GCF of 71/586,502/579,569/766 is 1/129949602.

Greatest Common Factor of 71,502,569

To find the highest common factor of 71,502,569, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 502 are 1, 2, 251, 502

The factors of 569 are 1, 569

The HCF of 71,502,569 is 1.

Lets's calculate GCF of 71,502,569

Greatest Common Factor (GCF) of 71,502,569 By Common Division

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

Greatest Common Factor of 71,502,569 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 502

1,2,251,502

Now, list down the factors of 569

1,569

Greatest Common Factor

We found the factors 71,502,569 . The biggest common factor number is the GCF number.
So the greatest common factor 71,502,569 is 1.

Lets's calculate LCM of 586,579,766

Lowest Common Multiple of 586,579,766 using Common Division

2	586, 579, 766
	293, 579, 383

∴ So the LCM of the given numbers is 2 x 293 x 579 x 383 = 129949602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129949602

Therefore, the GCF of Fractions 71/586,502/579,569/766 is 1/129949602

Least Common Multiple of 586,579,766 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 586,579,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,579,766) = 1

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

GCF(586,579,766) x common factors =1 x 2 = 2

LCM(586,579,766) = ( 586 × 579 × 766 ) / 2

LCM(586,579,766) = 259899204 / 2

LCM(586,579,766) = 129949602

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 71/586, 502/579, 569/766

1. What is the HCF of 71,502,569?

The HCF of 71,502,569 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 71/586, 502/579, 569/766?

Answer: GCF of Numerators as per given numbers 71/586, 502/579, 569/766 is

GCF of Numerators i.e. for 71,502,569 is 1

LCM of denominators i.e. for 586,579,766 is 129949602.

Thus, GCF of Fractions is 1/129949602.Finally, GCF of Fractions for 71/586, 502/579, 569/766 is 1/129949602.