Greatest Common Factor of 6969/40, 3753/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6969/40, 3753/529

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 6969/40,3753/529

Given fractions are 6969/40,3753/529

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 6969,3753

Greatest Common Factor of Numerators i.e. GCF of 6969,3753 is 3 .

LCM of Denominators means LCM of 40,529 as per the given fractions.

LCM of 40,529 is 21160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6969,3753

GCF of Fractions 6969/40,3753/529 is 3/21160

3 6969, 3753
2323, 1251

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6969,3753 By Matching Biggest Common Factor Method

Greatest Common Factor of 6969,3753 By Matching Biggest Common Factor Method

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1,3,9,27,139,417,1251,3753

Greatest Common Factor

We found the factors 6969,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,3753 is 3.

Lets's calculate LCM of 40,529

Given numbers has no common factors except 1. So, there LCM is their product i.e 21160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21160

Therefore, the GCF of Fractions 6969/40,3753/529 is 3/21160

Least Common Multiple of 40,529 with GCF Formula

Least Common Multiple of 40,529 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 40,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,529) = 1

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

GCF(40,529) x common factors =1 x 1 = 1

LCM(40,529) = ( 40 × 529 ) / 1

LCM(40,529) = 21160 / 1

LCM(40,529) = 21160


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 6969/40, 3753/529

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 6969/40, 3753/529?

Answer: GCF of Numerators as per given numbers 6969/40, 3753/529 is

GCF of Numerators i.e. for 6969,3753 is 3

LCM of denominators i.e. for 40,529 is 21160.

Thus, GCF of Fractions is 3/21160.Finally, GCF of Fractions for 6969/40, 3753/529 is 3/21160.