How to Find GCF of 410/978, 429/441, 181/623?

GCF of 410/978, 429/441, 181/623

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 410/978, 429/441, 181/623 i.e 1/12795174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/978, 429/441, 181/623.

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 410/978,429/441,181/623?

Given fractions are 410/978,429/441,181/623

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 410/978,429/441,181/623, numerators are 410,429,181

Denominators are 978,441,623

The GCF of 410,429,181 is 1 .

LCM of 978,441,623 is 12795174.

The greatest common factor of 410/978,429/441,181/623 = [GCF of 410,429,181]/[LCM of 978,441,623]= 1/12795174

Therefore, the GCF of 410/978,429/441,181/623 is 1/12795174.

Greatest Common Factor of 410,429,181

To find the highest common factor of 410,429,181, we have to find the factors of both numbers and list the highest common factor.

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The factors of 181 are 1, 181

The HCF of 410,429,181 is 1.

Lets's calculate GCF of 410,429,181

Greatest Common Factor (GCF) of 410,429,181 By Common Division

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

Greatest Common Factor of 410,429,181 By Matching Biggest Common Factor Method

Now, list down the factors of 410

1,2,5,10,41,82,205,410

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Now, list down the factors of 181

1,181

Greatest Common Factor

We found the factors 410,429,181 . The biggest common factor number is the GCF number.
So the greatest common factor 410,429,181 is 1.

Lets's calculate LCM of 978,441,623

Lowest Common Multiple of 978,441,623 using Common Division

3	978, 441, 623
7	326, 147, 623
	326, 21, 89

∴ So the LCM of the given numbers is 3 x 7 x 326 x 21 x 89 = 12795174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12795174

Therefore, the GCF of Fractions 410/978,429/441,181/623 is 1/12795174

Least Common Multiple of 978,441,623 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 978,441,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,441,623) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(978,441,623) x common factors =1 x 21 = 21

LCM(978,441,623) = ( 978 × 441 × 623 ) / 21

LCM(978,441,623) = 268698654 / 21

LCM(978,441,623) = 12795174

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 410/978, 429/441, 181/623

1. What is the HCF of 410,429,181?

The HCF of 410,429,181 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 410/978, 429/441, 181/623?

Answer: GCF of Numerators as per given numbers 410/978, 429/441, 181/623 is

GCF of Numerators i.e. for 410,429,181 is 1

LCM of denominators i.e. for 978,441,623 is 12795174.

Thus, GCF of Fractions is 1/12795174.Finally, GCF of Fractions for 410/978, 429/441, 181/623 is 1/12795174.