Greatest Common Factor of 389/38, 441/55, 786/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 389/38, 441/55, 786/871

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 389/38,441/55,786/871

Given fractions are 389/38,441/55,786/871

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 389,441,786

Greatest Common Factor of Numerators i.e. GCF of 389,441,786 is 1 .

LCM of Denominators means LCM of 38,55,871 as per the given fractions.

LCM of 38,55,871 is 1820390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 389,441,786

GCF of Fractions 389/38,441/55,786/871 is 1/1820390

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

Greatest Common Factor of 389,441,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,441,786 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 389,441,786 . The biggest common factor number is the GCF number.
So the greatest common factor 389,441,786 is 1.

Lets's calculate LCM of 38,55,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 1820390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1820390

Therefore, the GCF of Fractions 389/38,441/55,786/871 is 1/1820390

Least Common Multiple of 38,55,871 with GCF Formula

Least Common Multiple of 38,55,871 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 38,55,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,55,871) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,55,871) x common factors =1 x 1 = 1

LCM(38,55,871) = ( 38 × 55 × 871 ) / 1

LCM(38,55,871) = 1820390 / 1

LCM(38,55,871) = 1820390


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 389/38, 441/55, 786/871

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 389/38, 441/55, 786/871?

Answer: GCF of Numerators as per given numbers 389/38, 441/55, 786/871 is

GCF of Numerators i.e. for 389,441,786 is 1

LCM of denominators i.e. for 38,55,871 is 1820390.

Thus, GCF of Fractions is 1/1820390.Finally, GCF of Fractions for 389/38, 441/55, 786/871 is 1/1820390.