Greatest Common Factor of 362/845, 981/829, 392/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 362/845, 981/829, 392/823

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 362/845,981/829,392/823

Given fractions are 362/845,981/829,392/823

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 362,981,392

Greatest Common Factor of Numerators i.e. GCF of 362,981,392 is 1 .

LCM of Denominators means LCM of 845,829,823 as per the given fractions.

LCM of 845,829,823 is 576515615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 362,981,392

GCF of Fractions 362/845,981/829,392/823 is 1/576515615

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

Greatest Common Factor of 362,981,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,981,392 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 362,981,392 . The biggest common factor number is the GCF number.
So the greatest common factor 362,981,392 is 1.

Lets's calculate LCM of 845,829,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 576515615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576515615

Therefore, the GCF of Fractions 362/845,981/829,392/823 is 1/576515615

Least Common Multiple of 845,829,823 with GCF Formula

Least Common Multiple of 845,829,823 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 845,829,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,829,823) = 1

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

GCF(845,829,823) x common factors =1 x 1 = 1

LCM(845,829,823) = ( 845 × 829 × 823 ) / 1

LCM(845,829,823) = 576515615 / 1

LCM(845,829,823) = 576515615


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 362/845, 981/829, 392/823

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 362/845, 981/829, 392/823?

Answer: GCF of Numerators as per given numbers 362/845, 981/829, 392/823 is

GCF of Numerators i.e. for 362,981,392 is 1

LCM of denominators i.e. for 845,829,823 is 576515615.

Thus, GCF of Fractions is 1/576515615.Finally, GCF of Fractions for 362/845, 981/829, 392/823 is 1/576515615.