Greatest Common Factor of 69/342, 43/972, 380/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/342, 43/972, 380/536

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 69/342,43/972,380/536

Given fractions are 69/342,43/972,380/536

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 69,43,380

Greatest Common Factor of Numerators i.e. GCF of 69,43,380 is 1 .

LCM of Denominators means LCM of 342,972,536 as per the given fractions.

LCM of 342,972,536 is 2474712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,43,380

GCF of Fractions 69/342,43/972,380/536 is 1/2474712

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

Greatest Common Factor of 69,43,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,43,380 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 69,43,380 . The biggest common factor number is the GCF number.
So the greatest common factor 69,43,380 is 1.

Lets's calculate LCM of 342,972,536

2 342, 972, 536
2 171, 486, 268
3 171, 243, 134
3 57, 81, 134
19, 27, 134

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 27 x 134 = 2474712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2474712

Therefore, the GCF of Fractions 69/342,43/972,380/536 is 1/2474712

Least Common Multiple of 342,972,536 with GCF Formula

Least Common Multiple of 342,972,536 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 342,972,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,972,536) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(342,972,536) x common factors =2 x 36 = 72

LCM(342,972,536) = ( 342 × 972 × 536 ) / 72

LCM(342,972,536) = 178179264 / 72

LCM(342,972,536) = 2474712


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 69/342, 43/972, 380/536

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 69/342, 43/972, 380/536?

Answer: GCF of Numerators as per given numbers 69/342, 43/972, 380/536 is

GCF of Numerators i.e. for 69,43,380 is 1

LCM of denominators i.e. for 342,972,536 is 2474712.

Thus, GCF of Fractions is 1/2474712.Finally, GCF of Fractions for 69/342, 43/972, 380/536 is 1/2474712.