Greatest Common Factor of 683/105, 3658/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 683/105, 3658/195

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 683/105,3658/195

Given fractions are 683/105,3658/195

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 683,3658

Greatest Common Factor of Numerators i.e. GCF of 683,3658 is 1 .

LCM of Denominators means LCM of 105,195 as per the given fractions.

LCM of 105,195 is 1365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 683,3658

GCF of Fractions 683/105,3658/195 is 1/1365

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

Greatest Common Factor of 683,3658 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,3658 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1,2,31,59,62,118,1829,3658

Greatest Common Factor

We found the factors 683,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 683,3658 is 1.

Lets's calculate LCM of 105,195

3 105, 195
5 35, 65
7, 13

∴ So the LCM of the given numbers is 3 x 5 x 7 x 13 = 1365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1365

Therefore, the GCF of Fractions 683/105,3658/195 is 1/1365

Least Common Multiple of 105,195 with GCF Formula

Least Common Multiple of 105,195 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 105,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,195) = 15

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

GCF(105,195) x common factors =15 x 1 = 15

LCM(105,195) = ( 105 × 195 ) / 15

LCM(105,195) = 20475 / 15

LCM(105,195) = 1365


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 683/105, 3658/195

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 683/105, 3658/195?

Answer: GCF of Numerators as per given numbers 683/105, 3658/195 is

GCF of Numerators i.e. for 683,3658 is 1

LCM of denominators i.e. for 105,195 is 1365.

Thus, GCF of Fractions is 1/1365.Finally, GCF of Fractions for 683/105, 3658/195 is 1/1365.