Greatest Common Factor of 3549/338, 3097/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3549/338, 3097/700

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 3549/338,3097/700

Given fractions are 3549/338,3097/700

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 3549,3097

Greatest Common Factor of Numerators i.e. GCF of 3549,3097 is 1 .

LCM of Denominators means LCM of 338,700 as per the given fractions.

LCM of 338,700 is 118300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3549,3097

GCF of Fractions 3549/338,3097/700 is 1/118300

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

Greatest Common Factor of 3549,3097 By Matching Biggest Common Factor Method

Greatest Common Factor of 3549,3097 By Matching Biggest Common Factor Method

Factors of 3549

List of positive integer factors of 3549 that divides 3549 without a remainder.

1,3,7,13,21,39,91,169,273,507,1183,3549

Factors of 3097

List of positive integer factors of 3097 that divides 3097 without a remainder.

1,19,163,3097

Greatest Common Factor

We found the factors 3549,3097 . The biggest common factor number is the GCF number.
So the greatest common factor 3549,3097 is 1.

Lets's calculate LCM of 338,700

2 338, 700
169, 350

∴ So the LCM of the given numbers is 2 x 169 x 350 = 118300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118300

Therefore, the GCF of Fractions 3549/338,3097/700 is 1/118300

Least Common Multiple of 338,700 with GCF Formula

Least Common Multiple of 338,700 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 338,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,700) = 2

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

GCF(338,700) x common factors =2 x 1 = 2

LCM(338,700) = ( 338 × 700 ) / 2

LCM(338,700) = 236600 / 2

LCM(338,700) = 118300


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 3549/338, 3097/700

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 3549/338, 3097/700?

Answer: GCF of Numerators as per given numbers 3549/338, 3097/700 is

GCF of Numerators i.e. for 3549,3097 is 1

LCM of denominators i.e. for 338,700 is 118300.

Thus, GCF of Fractions is 1/118300.Finally, GCF of Fractions for 3549/338, 3097/700 is 1/118300.