Greatest Common Factor of 55/507, 529/869, 315/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/507, 529/869, 315/876

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 55/507,529/869,315/876

Given fractions are 55/507,529/869,315/876

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 55,529,315

Greatest Common Factor of Numerators i.e. GCF of 55,529,315 is 1 .

LCM of Denominators means LCM of 507,869,876 as per the given fractions.

LCM of 507,869,876 is 128650236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,529,315

GCF of Fractions 55/507,529/869,315/876 is 1/128650236

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

Greatest Common Factor of 55,529,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,529,315 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 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 55,529,315 . The biggest common factor number is the GCF number.
So the greatest common factor 55,529,315 is 1.

Lets's calculate LCM of 507,869,876

3 507, 869, 876
169, 869, 292

∴ So the LCM of the given numbers is 3 x 169 x 869 x 292 = 128650236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128650236

Therefore, the GCF of Fractions 55/507,529/869,315/876 is 1/128650236

Least Common Multiple of 507,869,876 with GCF Formula

Least Common Multiple of 507,869,876 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 507,869,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,869,876) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(507,869,876) x common factors =1 x 3 = 3

LCM(507,869,876) = ( 507 × 869 × 876 ) / 3

LCM(507,869,876) = 385950708 / 3

LCM(507,869,876) = 128650236


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 55/507, 529/869, 315/876

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 55/507, 529/869, 315/876?

Answer: GCF of Numerators as per given numbers 55/507, 529/869, 315/876 is

GCF of Numerators i.e. for 55,529,315 is 1

LCM of denominators i.e. for 507,869,876 is 128650236.

Thus, GCF of Fractions is 1/128650236.Finally, GCF of Fractions for 55/507, 529/869, 315/876 is 1/128650236.