Greatest Common Factor of 3507/18, 1769/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3507/18, 1769/355

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 3507/18,1769/355

Given fractions are 3507/18,1769/355

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 3507,1769

Greatest Common Factor of Numerators i.e. GCF of 3507,1769 is 1 .

LCM of Denominators means LCM of 18,355 as per the given fractions.

LCM of 18,355 is 6390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3507,1769

GCF of Fractions 3507/18,1769/355 is 1/6390

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

Greatest Common Factor of 3507,1769 By Matching Biggest Common Factor Method

Greatest Common Factor of 3507,1769 By Matching Biggest Common Factor Method

Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1,3,7,21,167,501,1169,3507

Factors of 1769

List of positive integer factors of 1769 that divides 1769 without a remainder.

1,29,61,1769

Greatest Common Factor

We found the factors 3507,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 3507,1769 is 1.

Lets's calculate LCM of 18,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 6390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6390

Therefore, the GCF of Fractions 3507/18,1769/355 is 1/6390

Least Common Multiple of 18,355 with GCF Formula

Least Common Multiple of 18,355 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 18,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,355) = 1

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

GCF(18,355) x common factors =1 x 1 = 1

LCM(18,355) = ( 18 × 355 ) / 1

LCM(18,355) = 6390 / 1

LCM(18,355) = 6390


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 3507/18, 1769/355

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 3507/18, 1769/355?

Answer: GCF of Numerators as per given numbers 3507/18, 1769/355 is

GCF of Numerators i.e. for 3507,1769 is 1

LCM of denominators i.e. for 18,355 is 6390.

Thus, GCF of Fractions is 1/6390.Finally, GCF of Fractions for 3507/18, 1769/355 is 1/6390.