Greatest Common Factor of 3449/775, 1564/3519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3449/775, 1564/3519

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 3449/775,1564/3519

Given fractions are 3449/775,1564/3519

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 3449,1564

Greatest Common Factor of Numerators i.e. GCF of 3449,1564 is 1 .

LCM of Denominators means LCM of 775,3519 as per the given fractions.

LCM of 775,3519 is 2727225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3449,1564

GCF of Fractions 3449/775,1564/3519 is 1/2727225

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

Greatest Common Factor of 3449,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 3449,1564 By Matching Biggest Common Factor Method

Factors of 3449

List of positive integer factors of 3449 that divides 3449 without a remainder.

1,3449

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 3449,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 3449,1564 is 1.

Lets's calculate LCM of 775,3519

Given numbers has no common factors except 1. So, there LCM is their product i.e 2727225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2727225

Therefore, the GCF of Fractions 3449/775,1564/3519 is 1/2727225

Least Common Multiple of 775,3519 with GCF Formula

Least Common Multiple of 775,3519 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 775,3519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,3519) = 1

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

GCF(775,3519) x common factors =1 x 1 = 1

LCM(775,3519) = ( 775 × 3519 ) / 1

LCM(775,3519) = 2727225 / 1

LCM(775,3519) = 2727225


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 3449/775, 1564/3519

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 3449/775, 1564/3519?

Answer: GCF of Numerators as per given numbers 3449/775, 1564/3519 is

GCF of Numerators i.e. for 3449,1564 is 1

LCM of denominators i.e. for 775,3519 is 2727225.

Thus, GCF of Fractions is 1/2727225.Finally, GCF of Fractions for 3449/775, 1564/3519 is 1/2727225.