Greatest Common Factor of 447/36, 511/47, 364/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 447/36, 511/47, 364/382

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 447/36,511/47,364/382

Given fractions are 447/36,511/47,364/382

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 447,511,364

Greatest Common Factor of Numerators i.e. GCF of 447,511,364 is 1 .

LCM of Denominators means LCM of 36,47,382 as per the given fractions.

LCM of 36,47,382 is 323172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 447,511,364

GCF of Fractions 447/36,511/47,364/382 is 1/323172

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

Greatest Common Factor of 447,511,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,511,364 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 447,511,364 . The biggest common factor number is the GCF number.
So the greatest common factor 447,511,364 is 1.

Lets's calculate LCM of 36,47,382

2 36, 47, 382
18, 47, 191

∴ So the LCM of the given numbers is 2 x 18 x 47 x 191 = 323172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323172

Therefore, the GCF of Fractions 447/36,511/47,364/382 is 1/323172

Least Common Multiple of 36,47,382 with GCF Formula

Least Common Multiple of 36,47,382 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 36,47,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,47,382) = 1

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

GCF(36,47,382) x common factors =1 x 2 = 2

LCM(36,47,382) = ( 36 × 47 × 382 ) / 2

LCM(36,47,382) = 646344 / 2

LCM(36,47,382) = 323172


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 447/36, 511/47, 364/382

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 447/36, 511/47, 364/382?

Answer: GCF of Numerators as per given numbers 447/36, 511/47, 364/382 is

GCF of Numerators i.e. for 447,511,364 is 1

LCM of denominators i.e. for 36,47,382 is 323172.

Thus, GCF of Fractions is 1/323172.Finally, GCF of Fractions for 447/36, 511/47, 364/382 is 1/323172.