How to Find GCF of 59/603, 74/132, 830/727?

GCF of 59/603, 74/132, 830/727

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 59/603, 74/132, 830/727 i.e 1/19288764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/603, 74/132, 830/727.

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 59/603,74/132,830/727?

Given fractions are 59/603,74/132,830/727

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 59/603,74/132,830/727, numerators are 59,74,830

Denominators are 603,132,727

The GCF of 59,74,830 is 1 .

LCM of 603,132,727 is 19288764.

The greatest common factor of 59/603,74/132,830/727 = [GCF of 59,74,830]/[LCM of 603,132,727]= 1/19288764

Therefore, the GCF of 59/603,74/132,830/727 is 1/19288764.

Greatest Common Factor of 59,74,830

To find the highest common factor of 59,74,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 59 are 1, 59

The factors of 74 are 1, 2, 37, 74

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 59,74,830 is 1.

Lets's calculate GCF of 59,74,830

Greatest Common Factor (GCF) of 59,74,830 By Common Division

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

Greatest Common Factor of 59,74,830 By Matching Biggest Common Factor Method

Now, list down the factors of 59

1,59

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 830

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 59,74,830 . The biggest common factor number is the GCF number.
So the greatest common factor 59,74,830 is 1.

Lets's calculate LCM of 603,132,727

Lowest Common Multiple of 603,132,727 using Common Division

3	603, 132, 727
	201, 44, 727

∴ So the LCM of the given numbers is 3 x 201 x 44 x 727 = 19288764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19288764

Therefore, the GCF of Fractions 59/603,74/132,830/727 is 1/19288764

Least Common Multiple of 603,132,727 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 603,132,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,132,727) = 1

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

GCF(603,132,727) x common factors =1 x 3 = 3

LCM(603,132,727) = ( 603 × 132 × 727 ) / 3

LCM(603,132,727) = 57866292 / 3

LCM(603,132,727) = 19288764

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 59/603, 74/132, 830/727

1. What is the HCF of 59,74,830?

The HCF of 59,74,830 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 59/603, 74/132, 830/727?

Answer: GCF of Numerators as per given numbers 59/603, 74/132, 830/727 is

GCF of Numerators i.e. for 59,74,830 is 1

LCM of denominators i.e. for 603,132,727 is 19288764.

Thus, GCF of Fractions is 1/19288764.Finally, GCF of Fractions for 59/603, 74/132, 830/727 is 1/19288764.