Greatest Common Factor of 269/231, 3485/2100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 269/231, 3485/2100

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 269/231,3485/2100

Given fractions are 269/231,3485/2100

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 269,3485

Greatest Common Factor of Numerators i.e. GCF of 269,3485 is 1 .

LCM of Denominators means LCM of 231,2100 as per the given fractions.

LCM of 231,2100 is 23100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 269,3485

GCF of Fractions 269/231,3485/2100 is 1/23100

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

Greatest Common Factor of 269,3485 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,3485 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 3485

List of positive integer factors of 3485 that divides 3485 without a remainder.

1,5,17,41,85,205,697,3485

Greatest Common Factor

We found the factors 269,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 269,3485 is 1.

Lets's calculate LCM of 231,2100

3 231, 2100
7 77, 700
11, 100

∴ So the LCM of the given numbers is 3 x 7 x 11 x 100 = 23100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23100

Therefore, the GCF of Fractions 269/231,3485/2100 is 1/23100

Least Common Multiple of 231,2100 with GCF Formula

Least Common Multiple of 231,2100 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 231,2100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,2100) = 21

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

GCF(231,2100) x common factors =21 x 1 = 21

LCM(231,2100) = ( 231 × 2100 ) / 21

LCM(231,2100) = 485100 / 21

LCM(231,2100) = 23100


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 269/231, 3485/2100

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 269/231, 3485/2100?

Answer: GCF of Numerators as per given numbers 269/231, 3485/2100 is

GCF of Numerators i.e. for 269,3485 is 1

LCM of denominators i.e. for 231,2100 is 23100.

Thus, GCF of Fractions is 1/23100.Finally, GCF of Fractions for 269/231, 3485/2100 is 1/23100.