Greatest Common Factor of 6745/685, 1365/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6745/685, 1365/519

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 6745/685,1365/519

Given fractions are 6745/685,1365/519

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 6745,1365

Greatest Common Factor of Numerators i.e. GCF of 6745,1365 is 5 .

LCM of Denominators means LCM of 685,519 as per the given fractions.

LCM of 685,519 is 355515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6745,1365

GCF of Fractions 6745/685,1365/519 is 5/355515

5 6745, 1365
1349, 273

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6745,1365 By Matching Biggest Common Factor Method

Greatest Common Factor of 6745,1365 By Matching Biggest Common Factor Method

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

Greatest Common Factor

We found the factors 6745,1365 . The biggest common factor number is the GCF number.
So the greatest common factor 6745,1365 is 5.

Lets's calculate LCM of 685,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 355515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/355515

Therefore, the GCF of Fractions 6745/685,1365/519 is 5/355515

Least Common Multiple of 685,519 with GCF Formula

Least Common Multiple of 685,519 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 685,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,519) = 1

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

GCF(685,519) x common factors =1 x 1 = 1

LCM(685,519) = ( 685 × 519 ) / 1

LCM(685,519) = 355515 / 1

LCM(685,519) = 355515


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 6745/685, 1365/519

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 6745/685, 1365/519?

Answer: GCF of Numerators as per given numbers 6745/685, 1365/519 is

GCF of Numerators i.e. for 6745,1365 is 5

LCM of denominators i.e. for 685,519 is 355515.

Thus, GCF of Fractions is 5/355515.Finally, GCF of Fractions for 6745/685, 1365/519 is 5/355515.