Greatest Common Factor of 469/176, 683/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/176, 683/304

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 469/176,683/304

Given fractions are 469/176,683/304

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 469,683

Greatest Common Factor of Numerators i.e. GCF of 469,683 is 1 .

LCM of Denominators means LCM of 176,304 as per the given fractions.

LCM of 176,304 is 3344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,683

GCF of Fractions 469/176,683/304 is 1/3344

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

Greatest Common Factor of 469,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,683 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 469,683 . The biggest common factor number is the GCF number.
So the greatest common factor 469,683 is 1.

Lets's calculate LCM of 176,304

2 176, 304
2 88, 152
2 44, 76
2 22, 38
11, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 19 = 3344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3344

Therefore, the GCF of Fractions 469/176,683/304 is 1/3344

Least Common Multiple of 176,304 with GCF Formula

Least Common Multiple of 176,304 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 176,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,304) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(176,304) x common factors =16 x 1 = 16

LCM(176,304) = ( 176 × 304 ) / 16

LCM(176,304) = 53504 / 16

LCM(176,304) = 3344


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 469/176, 683/304

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 469/176, 683/304?

Answer: GCF of Numerators as per given numbers 469/176, 683/304 is

GCF of Numerators i.e. for 469,683 is 1

LCM of denominators i.e. for 176,304 is 3344.

Thus, GCF of Fractions is 1/3344.Finally, GCF of Fractions for 469/176, 683/304 is 1/3344.