Greatest Common Factor of 1704/65, 5735/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1704/65, 5735/348

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 1704/65,5735/348

Given fractions are 1704/65,5735/348

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 1704,5735

Greatest Common Factor of Numerators i.e. GCF of 1704,5735 is 1 .

LCM of Denominators means LCM of 65,348 as per the given fractions.

LCM of 65,348 is 22620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1704,5735

GCF of Fractions 1704/65,5735/348 is 1/22620

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

Greatest Common Factor of 1704,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 1704,5735 By Matching Biggest Common Factor Method

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 1704,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,5735 is 1.

Lets's calculate LCM of 65,348

Given numbers has no common factors except 1. So, there LCM is their product i.e 22620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22620

Therefore, the GCF of Fractions 1704/65,5735/348 is 1/22620

Least Common Multiple of 65,348 with GCF Formula

Least Common Multiple of 65,348 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 65,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,348) = 1

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

GCF(65,348) x common factors =1 x 1 = 1

LCM(65,348) = ( 65 × 348 ) / 1

LCM(65,348) = 22620 / 1

LCM(65,348) = 22620


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 1704/65, 5735/348

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 1704/65, 5735/348?

Answer: GCF of Numerators as per given numbers 1704/65, 5735/348 is

GCF of Numerators i.e. for 1704,5735 is 1

LCM of denominators i.e. for 65,348 is 22620.

Thus, GCF of Fractions is 1/22620.Finally, GCF of Fractions for 1704/65, 5735/348 is 1/22620.