Greatest Common Factor of 3440/36, 1903/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3440/36, 1903/296

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 3440/36,1903/296

Given fractions are 3440/36,1903/296

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 3440,1903

Greatest Common Factor of Numerators i.e. GCF of 3440,1903 is 1 .

LCM of Denominators means LCM of 36,296 as per the given fractions.

LCM of 36,296 is 2664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3440,1903

GCF of Fractions 3440/36,1903/296 is 1/2664

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

Greatest Common Factor of 3440,1903 By Matching Biggest Common Factor Method

Greatest Common Factor of 3440,1903 By Matching Biggest Common Factor Method

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Factors of 1903

List of positive integer factors of 1903 that divides 1903 without a remainder.

1,11,173,1903

Greatest Common Factor

We found the factors 3440,1903 . The biggest common factor number is the GCF number.
So the greatest common factor 3440,1903 is 1.

Lets's calculate LCM of 36,296

2 36, 296
2 18, 148
9, 74

∴ So the LCM of the given numbers is 2 x 2 x 9 x 74 = 2664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2664

Therefore, the GCF of Fractions 3440/36,1903/296 is 1/2664

Least Common Multiple of 36,296 with GCF Formula

Least Common Multiple of 36,296 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 36,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,296) = 4

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

GCF(36,296) x common factors =4 x 1 = 4

LCM(36,296) = ( 36 × 296 ) / 4

LCM(36,296) = 10656 / 4

LCM(36,296) = 2664


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 3440/36, 1903/296

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 3440/36, 1903/296?

Answer: GCF of Numerators as per given numbers 3440/36, 1903/296 is

GCF of Numerators i.e. for 3440,1903 is 1

LCM of denominators i.e. for 36,296 is 2664.

Thus, GCF of Fractions is 1/2664.Finally, GCF of Fractions for 3440/36, 1903/296 is 1/2664.