Greatest Common Factor of 85/922, 511/832, 958/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/922, 511/832, 958/353

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 85/922,511/832,958/353

Given fractions are 85/922,511/832,958/353

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 85,511,958

Greatest Common Factor of Numerators i.e. GCF of 85,511,958 is 1 .

LCM of Denominators means LCM of 922,832,353 as per the given fractions.

LCM of 922,832,353 is 135393856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,511,958

GCF of Fractions 85/922,511/832,958/353 is 1/135393856

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

Greatest Common Factor of 85,511,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,511,958 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 511

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

1,7,73,511

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 85,511,958 . The biggest common factor number is the GCF number.
So the greatest common factor 85,511,958 is 1.

Lets's calculate LCM of 922,832,353

2 922, 832, 353
461, 416, 353

∴ So the LCM of the given numbers is 2 x 461 x 416 x 353 = 135393856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135393856

Therefore, the GCF of Fractions 85/922,511/832,958/353 is 1/135393856

Least Common Multiple of 922,832,353 with GCF Formula

Least Common Multiple of 922,832,353 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 922,832,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,832,353) = 1

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

GCF(922,832,353) x common factors =1 x 2 = 2

LCM(922,832,353) = ( 922 × 832 × 353 ) / 2

LCM(922,832,353) = 270787712 / 2

LCM(922,832,353) = 135393856


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 85/922, 511/832, 958/353

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 85/922, 511/832, 958/353?

Answer: GCF of Numerators as per given numbers 85/922, 511/832, 958/353 is

GCF of Numerators i.e. for 85,511,958 is 1

LCM of denominators i.e. for 922,832,353 is 135393856.

Thus, GCF of Fractions is 1/135393856.Finally, GCF of Fractions for 85/922, 511/832, 958/353 is 1/135393856.