Greatest Common Factor of 55/294, 404/412, 445/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/294, 404/412, 445/537

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 55/294,404/412,445/537

Given fractions are 55/294,404/412,445/537

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 55,404,445

Greatest Common Factor of Numerators i.e. GCF of 55,404,445 is 1 .

LCM of Denominators means LCM of 294,412,537 as per the given fractions.

LCM of 294,412,537 is 10840956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,404,445

GCF of Fractions 55/294,404/412,445/537 is 1/10840956

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

Greatest Common Factor of 55,404,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,404,445 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 55,404,445 . The biggest common factor number is the GCF number.
So the greatest common factor 55,404,445 is 1.

Lets's calculate LCM of 294,412,537

2 294, 412, 537
3 147, 206, 537
49, 206, 179

∴ So the LCM of the given numbers is 2 x 3 x 49 x 206 x 179 = 10840956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10840956

Therefore, the GCF of Fractions 55/294,404/412,445/537 is 1/10840956

Least Common Multiple of 294,412,537 with GCF Formula

Least Common Multiple of 294,412,537 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 294,412,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,412,537) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(294,412,537) x common factors =1 x 6 = 6

LCM(294,412,537) = ( 294 × 412 × 537 ) / 6

LCM(294,412,537) = 65045736 / 6

LCM(294,412,537) = 10840956


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 55/294, 404/412, 445/537

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 55/294, 404/412, 445/537?

Answer: GCF of Numerators as per given numbers 55/294, 404/412, 445/537 is

GCF of Numerators i.e. for 55,404,445 is 1

LCM of denominators i.e. for 294,412,537 is 10840956.

Thus, GCF of Fractions is 1/10840956.Finally, GCF of Fractions for 55/294, 404/412, 445/537 is 1/10840956.