Greatest Common Factor of 512/265, 1738/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/265, 1738/876

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 512/265,1738/876

Given fractions are 512/265,1738/876

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 512,1738

Greatest Common Factor of Numerators i.e. GCF of 512,1738 is 2 .

LCM of Denominators means LCM of 265,876 as per the given fractions.

LCM of 265,876 is 232140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,1738

GCF of Fractions 512/265,1738/876 is 2/232140

2 512, 1738
256, 869

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 512,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,1738 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 512,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 512,1738 is 2.

Lets's calculate LCM of 265,876

Given numbers has no common factors except 1. So, there LCM is their product i.e 232140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232140

Therefore, the GCF of Fractions 512/265,1738/876 is 2/232140

Least Common Multiple of 265,876 with GCF Formula

Least Common Multiple of 265,876 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 265,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,876) = 1

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

GCF(265,876) x common factors =1 x 1 = 1

LCM(265,876) = ( 265 × 876 ) / 1

LCM(265,876) = 232140 / 1

LCM(265,876) = 232140


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 512/265, 1738/876

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 512/265, 1738/876?

Answer: GCF of Numerators as per given numbers 512/265, 1738/876 is

GCF of Numerators i.e. for 512,1738 is 2

LCM of denominators i.e. for 265,876 is 232140.

Thus, GCF of Fractions is 2/232140.Finally, GCF of Fractions for 512/265, 1738/876 is 2/232140.