Greatest Common Factor of 3469/16, 2715/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3469/16, 2715/709

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 3469/16,2715/709

Given fractions are 3469/16,2715/709

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 3469,2715

Greatest Common Factor of Numerators i.e. GCF of 3469,2715 is 1 .

LCM of Denominators means LCM of 16,709 as per the given fractions.

LCM of 16,709 is 11344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3469,2715

GCF of Fractions 3469/16,2715/709 is 1/11344

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

Greatest Common Factor of 3469,2715 By Matching Biggest Common Factor Method

Greatest Common Factor of 3469,2715 By Matching Biggest Common Factor Method

Factors of 3469

List of positive integer factors of 3469 that divides 3469 without a remainder.

1,3469

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors 3469,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 3469,2715 is 1.

Lets's calculate LCM of 16,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 11344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11344

Therefore, the GCF of Fractions 3469/16,2715/709 is 1/11344

Least Common Multiple of 16,709 with GCF Formula

Least Common Multiple of 16,709 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 16,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,709) = 1

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

GCF(16,709) x common factors =1 x 1 = 1

LCM(16,709) = ( 16 × 709 ) / 1

LCM(16,709) = 11344 / 1

LCM(16,709) = 11344


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 3469/16, 2715/709

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 3469/16, 2715/709?

Answer: GCF of Numerators as per given numbers 3469/16, 2715/709 is

GCF of Numerators i.e. for 3469,2715 is 1

LCM of denominators i.e. for 16,709 is 11344.

Thus, GCF of Fractions is 1/11344.Finally, GCF of Fractions for 3469/16, 2715/709 is 1/11344.