Greatest Common Factor of 553/50, 349/16, 725/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/50, 349/16, 725/469

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 553/50,349/16,725/469

Given fractions are 553/50,349/16,725/469

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 553,349,725

Greatest Common Factor of Numerators i.e. GCF of 553,349,725 is 1 .

LCM of Denominators means LCM of 50,16,469 as per the given fractions.

LCM of 50,16,469 is 187600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,349,725

GCF of Fractions 553/50,349/16,725/469 is 1/187600

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

Greatest Common Factor of 553,349,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,349,725 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 553,349,725 . The biggest common factor number is the GCF number.
So the greatest common factor 553,349,725 is 1.

Lets's calculate LCM of 50,16,469

2 50, 16, 469
25, 8, 469

∴ So the LCM of the given numbers is 2 x 25 x 8 x 469 = 187600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187600

Therefore, the GCF of Fractions 553/50,349/16,725/469 is 1/187600

Least Common Multiple of 50,16,469 with GCF Formula

Least Common Multiple of 50,16,469 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 50,16,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,16,469) = 1

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

GCF(50,16,469) x common factors =1 x 2 = 2

LCM(50,16,469) = ( 50 × 16 × 469 ) / 2

LCM(50,16,469) = 375200 / 2

LCM(50,16,469) = 187600


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 553/50, 349/16, 725/469

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 553/50, 349/16, 725/469?

Answer: GCF of Numerators as per given numbers 553/50, 349/16, 725/469 is

GCF of Numerators i.e. for 553,349,725 is 1

LCM of denominators i.e. for 50,16,469 is 187600.

Thus, GCF of Fractions is 1/187600.Finally, GCF of Fractions for 553/50, 349/16, 725/469 is 1/187600.