Greatest Common Factor of 686/450, 308/300, 323/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/450, 308/300, 323/954

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 686/450,308/300,323/954

Given fractions are 686/450,308/300,323/954

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 686,308,323

Greatest Common Factor of Numerators i.e. GCF of 686,308,323 is 1 .

LCM of Denominators means LCM of 450,300,954 as per the given fractions.

LCM of 450,300,954 is 47700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,308,323

GCF of Fractions 686/450,308/300,323/954 is 1/47700

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

Greatest Common Factor of 686,308,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,308,323 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 686,308,323 . The biggest common factor number is the GCF number.
So the greatest common factor 686,308,323 is 1.

Lets's calculate LCM of 450,300,954

2 450, 300, 954
3 225, 150, 477
3 75, 50, 159
5 25, 50, 53
5 5, 10, 53
1, 2, 53

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 1 x 2 x 53 = 47700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47700

Therefore, the GCF of Fractions 686/450,308/300,323/954 is 1/47700

Least Common Multiple of 450,300,954 with GCF Formula

Least Common Multiple of 450,300,954 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 450,300,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,300,954) = 6

common factors(in case of two or more numbers have common factors) = 450

GCF(450,300,954) x common factors =6 x 450 = 2700

LCM(450,300,954) = ( 450 × 300 × 954 ) / 2700

LCM(450,300,954) = 128790000 / 2700

LCM(450,300,954) = 47700


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 686/450, 308/300, 323/954

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 686/450, 308/300, 323/954?

Answer: GCF of Numerators as per given numbers 686/450, 308/300, 323/954 is

GCF of Numerators i.e. for 686,308,323 is 1

LCM of denominators i.e. for 450,300,954 is 47700.

Thus, GCF of Fractions is 1/47700.Finally, GCF of Fractions for 686/450, 308/300, 323/954 is 1/47700.