Greatest Common Factor of 6689/56, 4146/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6689/56, 4146/569

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 6689/56,4146/569

Given fractions are 6689/56,4146/569

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 6689,4146

Greatest Common Factor of Numerators i.e. GCF of 6689,4146 is 1 .

LCM of Denominators means LCM of 56,569 as per the given fractions.

LCM of 56,569 is 31864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6689,4146

GCF of Fractions 6689/56,4146/569 is 1/31864

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

Greatest Common Factor of 6689,4146 By Matching Biggest Common Factor Method

Greatest Common Factor of 6689,4146 By Matching Biggest Common Factor Method

Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1,6689

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors 6689,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 6689,4146 is 1.

Lets's calculate LCM of 56,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 31864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31864

Therefore, the GCF of Fractions 6689/56,4146/569 is 1/31864

Least Common Multiple of 56,569 with GCF Formula

Least Common Multiple of 56,569 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 56,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,569) = 1

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

GCF(56,569) x common factors =1 x 1 = 1

LCM(56,569) = ( 56 × 569 ) / 1

LCM(56,569) = 31864 / 1

LCM(56,569) = 31864


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 6689/56, 4146/569

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 6689/56, 4146/569?

Answer: GCF of Numerators as per given numbers 6689/56, 4146/569 is

GCF of Numerators i.e. for 6689,4146 is 1

LCM of denominators i.e. for 56,569 is 31864.

Thus, GCF of Fractions is 1/31864.Finally, GCF of Fractions for 6689/56, 4146/569 is 1/31864.