Greatest Common Factor of 69/10, 684/42, 230/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/10, 684/42, 230/296

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 69/10,684/42,230/296

Given fractions are 69/10,684/42,230/296

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 69,684,230

Greatest Common Factor of Numerators i.e. GCF of 69,684,230 is 1 .

LCM of Denominators means LCM of 10,42,296 as per the given fractions.

LCM of 10,42,296 is 31080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,684,230

GCF of Fractions 69/10,684/42,230/296 is 1/31080

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

Greatest Common Factor of 69,684,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,684,230 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 69,684,230 . The biggest common factor number is the GCF number.
So the greatest common factor 69,684,230 is 1.

Lets's calculate LCM of 10,42,296

2 10, 42, 296
5, 21, 148

∴ So the LCM of the given numbers is 2 x 5 x 21 x 148 = 31080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31080

Therefore, the GCF of Fractions 69/10,684/42,230/296 is 1/31080

Least Common Multiple of 10,42,296 with GCF Formula

Least Common Multiple of 10,42,296 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 10,42,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,42,296) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,42,296) x common factors =2 x 2 = 4

LCM(10,42,296) = ( 10 × 42 × 296 ) / 4

LCM(10,42,296) = 124320 / 4

LCM(10,42,296) = 31080


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 69/10, 684/42, 230/296

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 69/10, 684/42, 230/296?

Answer: GCF of Numerators as per given numbers 69/10, 684/42, 230/296 is

GCF of Numerators i.e. for 69,684,230 is 1

LCM of denominators i.e. for 10,42,296 is 31080.

Thus, GCF of Fractions is 1/31080.Finally, GCF of Fractions for 69/10, 684/42, 230/296 is 1/31080.