Greatest Common Factor of 684/96, 574/69, 498/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/96, 574/69, 498/827

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 684/96,574/69,498/827

Given fractions are 684/96,574/69,498/827

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 684,574,498

Greatest Common Factor of Numerators i.e. GCF of 684,574,498 is 2 .

LCM of Denominators means LCM of 96,69,827 as per the given fractions.

LCM of 96,69,827 is 1826016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,574,498

GCF of Fractions 684/96,574/69,498/827 is 2/1826016

2 684, 574, 498
342, 287, 249

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 684,574,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,574,498 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 684,574,498 . The biggest common factor number is the GCF number.
So the greatest common factor 684,574,498 is 2.

Lets's calculate LCM of 96,69,827

3 96, 69, 827
32, 23, 827

∴ So the LCM of the given numbers is 3 x 32 x 23 x 827 = 1826016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1826016

Therefore, the GCF of Fractions 684/96,574/69,498/827 is 2/1826016

Least Common Multiple of 96,69,827 with GCF Formula

Least Common Multiple of 96,69,827 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 96,69,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,69,827) = 1

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

GCF(96,69,827) x common factors =1 x 3 = 3

LCM(96,69,827) = ( 96 × 69 × 827 ) / 3

LCM(96,69,827) = 5478048 / 3

LCM(96,69,827) = 1826016


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 684/96, 574/69, 498/827

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 684/96, 574/69, 498/827?

Answer: GCF of Numerators as per given numbers 684/96, 574/69, 498/827 is

GCF of Numerators i.e. for 684,574,498 is 2

LCM of denominators i.e. for 96,69,827 is 1826016.

Thus, GCF of Fractions is 2/1826016.Finally, GCF of Fractions for 684/96, 574/69, 498/827 is 2/1826016.