Greatest Common Factor of 349/606, 682/545, 456/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/606, 682/545, 456/297

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 349/606,682/545,456/297

Given fractions are 349/606,682/545,456/297

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 349,682,456

Greatest Common Factor of Numerators i.e. GCF of 349,682,456 is 1 .

LCM of Denominators means LCM of 606,545,297 as per the given fractions.

LCM of 606,545,297 is 32696730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,682,456

GCF of Fractions 349/606,682/545,456/297 is 1/32696730

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

Greatest Common Factor of 349,682,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,682,456 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 349,682,456 . The biggest common factor number is the GCF number.
So the greatest common factor 349,682,456 is 1.

Lets's calculate LCM of 606,545,297

3 606, 545, 297
202, 545, 99

∴ So the LCM of the given numbers is 3 x 202 x 545 x 99 = 32696730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32696730

Therefore, the GCF of Fractions 349/606,682/545,456/297 is 1/32696730

Least Common Multiple of 606,545,297 with GCF Formula

Least Common Multiple of 606,545,297 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 606,545,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,545,297) = 1

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

GCF(606,545,297) x common factors =1 x 3 = 3

LCM(606,545,297) = ( 606 × 545 × 297 ) / 3

LCM(606,545,297) = 98090190 / 3

LCM(606,545,297) = 32696730


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 349/606, 682/545, 456/297

1. 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.

2. What is the GCF of Fractions for 349/606, 682/545, 456/297?

Answer: GCF of Numerators as per given numbers 349/606, 682/545, 456/297 is

GCF of Numerators i.e. for 349,682,456 is 1

LCM of denominators i.e. for 606,545,297 is 32696730.

Thus, GCF of Fractions is 1/32696730.Finally, GCF of Fractions for 349/606, 682/545, 456/297 is 1/32696730.