How to Find GCF of 173/96, 414/10, 569/89?

GCF of 173/96, 414/10, 569/89

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 173/96, 414/10, 569/89 i.e 1/42720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 173/96, 414/10, 569/89.

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 173/96,414/10,569/89?

Given fractions are 173/96,414/10,569/89

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 173/96,414/10,569/89, numerators are 173,414,569

Denominators are 96,10,89

The GCF of 173,414,569 is 1 .

LCM of 96,10,89 is 42720.

The greatest common factor of 173/96,414/10,569/89 = [GCF of 173,414,569]/[LCM of 96,10,89]= 1/42720

Therefore, the GCF of 173/96,414/10,569/89 is 1/42720.

Greatest Common Factor of 173,414,569

To find the highest common factor of 173,414,569, we have to find the factors of both numbers and list the highest common factor.

The factors of 173 are 1, 173

The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

The factors of 569 are 1, 569

The HCF of 173,414,569 is 1.

Lets's calculate GCF of 173,414,569

Greatest Common Factor (GCF) of 173,414,569 By Common Division

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

Greatest Common Factor of 173,414,569 By Matching Biggest Common Factor Method

Now, list down the factors of 173

1,173

Now, list down the factors of 414

1,2,3,6,9,18,23,46,69,138,207,414

Now, list down the factors of 569

1,569

Greatest Common Factor

We found the factors 173,414,569 . The biggest common factor number is the GCF number.
So the greatest common factor 173,414,569 is 1.

Lets's calculate LCM of 96,10,89

Lowest Common Multiple of 96,10,89 using Common Division

2	96, 10, 89
	48, 5, 89

∴ So the LCM of the given numbers is 2 x 48 x 5 x 89 = 42720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42720

Therefore, the GCF of Fractions 173/96,414/10,569/89 is 1/42720

Least Common Multiple of 96,10,89 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 96,10,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,10,89) = 1

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

GCF(96,10,89) x common factors =1 x 2 = 2

LCM(96,10,89) = ( 96 × 10 × 89 ) / 2

LCM(96,10,89) = 85440 / 2

LCM(96,10,89) = 42720

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 173/96, 414/10, 569/89

1. What is the HCF of 173,414,569?

The HCF of 173,414,569 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 173/96, 414/10, 569/89?

Answer: GCF of Numerators as per given numbers 173/96, 414/10, 569/89 is

GCF of Numerators i.e. for 173,414,569 is 1

LCM of denominators i.e. for 96,10,89 is 42720.

Thus, GCF of Fractions is 1/42720.Finally, GCF of Fractions for 173/96, 414/10, 569/89 is 1/42720.