Greatest Common Factor of 521/64, 414/74, 568/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 521/64, 414/74, 568/69

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 521/64,414/74,568/69

Given fractions are 521/64,414/74,568/69

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 521,414,568

Greatest Common Factor of Numerators i.e. GCF of 521,414,568 is 1 .

LCM of Denominators means LCM of 64,74,69 as per the given fractions.

LCM of 64,74,69 is 163392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 521,414,568

GCF of Fractions 521/64,414/74,568/69 is 1/163392

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

Greatest Common Factor of 521,414,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,414,568 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 521,414,568 . The biggest common factor number is the GCF number.
So the greatest common factor 521,414,568 is 1.

Lets's calculate LCM of 64,74,69

2 64, 74, 69
32, 37, 69

∴ So the LCM of the given numbers is 2 x 32 x 37 x 69 = 163392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163392

Therefore, the GCF of Fractions 521/64,414/74,568/69 is 1/163392

Least Common Multiple of 64,74,69 with GCF Formula

Least Common Multiple of 64,74,69 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 64,74,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,74,69) = 1

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

GCF(64,74,69) x common factors =1 x 2 = 2

LCM(64,74,69) = ( 64 × 74 × 69 ) / 2

LCM(64,74,69) = 326784 / 2

LCM(64,74,69) = 163392


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 521/64, 414/74, 568/69

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 521/64, 414/74, 568/69?

Answer: GCF of Numerators as per given numbers 521/64, 414/74, 568/69 is

GCF of Numerators i.e. for 521,414,568 is 1

LCM of denominators i.e. for 64,74,69 is 163392.

Thus, GCF of Fractions is 1/163392.Finally, GCF of Fractions for 521/64, 414/74, 568/69 is 1/163392.