Greatest Common Factor of 69/26, 29/54, 290/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/26, 29/54, 290/574

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 69/26,29/54,290/574

Given fractions are 69/26,29/54,290/574

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 69,29,290

Greatest Common Factor of Numerators i.e. GCF of 69,29,290 is 1 .

LCM of Denominators means LCM of 26,54,574 as per the given fractions.

LCM of 26,54,574 is 201474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,29,290

GCF of Fractions 69/26,29/54,290/574 is 1/201474

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

Greatest Common Factor of 69,29,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,29,290 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 69,29,290 . The biggest common factor number is the GCF number.
So the greatest common factor 69,29,290 is 1.

Lets's calculate LCM of 26,54,574

2 26, 54, 574
13, 27, 287

∴ So the LCM of the given numbers is 2 x 13 x 27 x 287 = 201474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201474

Therefore, the GCF of Fractions 69/26,29/54,290/574 is 1/201474

Least Common Multiple of 26,54,574 with GCF Formula

Least Common Multiple of 26,54,574 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 26,54,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,54,574) = 2

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

GCF(26,54,574) x common factors =2 x 2 = 4

LCM(26,54,574) = ( 26 × 54 × 574 ) / 4

LCM(26,54,574) = 805896 / 4

LCM(26,54,574) = 201474


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 69/26, 29/54, 290/574

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 69/26, 29/54, 290/574?

Answer: GCF of Numerators as per given numbers 69/26, 29/54, 290/574 is

GCF of Numerators i.e. for 69,29,290 is 1

LCM of denominators i.e. for 26,54,574 is 201474.

Thus, GCF of Fractions is 1/201474.Finally, GCF of Fractions for 69/26, 29/54, 290/574 is 1/201474.