Greatest Common Factor of 553/56, 309/74, 555/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/56, 309/74, 555/481

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 553/56,309/74,555/481

Given fractions are 553/56,309/74,555/481

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 553,309,555

Greatest Common Factor of Numerators i.e. GCF of 553,309,555 is 1 .

LCM of Denominators means LCM of 56,74,481 as per the given fractions.

LCM of 56,74,481 is 26936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,309,555

GCF of Fractions 553/56,309/74,555/481 is 1/26936

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

Greatest Common Factor of 553,309,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,309,555 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 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 553,309,555 . The biggest common factor number is the GCF number.
So the greatest common factor 553,309,555 is 1.

Lets's calculate LCM of 56,74,481

2 56, 74, 481
37 28, 37, 481
28, 1, 13

∴ So the LCM of the given numbers is 2 x 37 x 28 x 1 x 13 = 26936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26936

Therefore, the GCF of Fractions 553/56,309/74,555/481 is 1/26936

Least Common Multiple of 56,74,481 with GCF Formula

Least Common Multiple of 56,74,481 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 56,74,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,74,481) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(56,74,481) x common factors =1 x 74 = 74

LCM(56,74,481) = ( 56 × 74 × 481 ) / 74

LCM(56,74,481) = 1993264 / 74

LCM(56,74,481) = 26936


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 553/56, 309/74, 555/481

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 553/56, 309/74, 555/481?

Answer: GCF of Numerators as per given numbers 553/56, 309/74, 555/481 is

GCF of Numerators i.e. for 553,309,555 is 1

LCM of denominators i.e. for 56,74,481 is 26936.

Thus, GCF of Fractions is 1/26936.Finally, GCF of Fractions for 553/56, 309/74, 555/481 is 1/26936.