Greatest Common Factor of 69/292, 6808/1743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/292, 6808/1743

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 69/292,6808/1743

Given fractions are 69/292,6808/1743

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 69,6808

Greatest Common Factor of Numerators i.e. GCF of 69,6808 is 23 .

LCM of Denominators means LCM of 292,1743 as per the given fractions.

LCM of 292,1743 is 508956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,6808

GCF of Fractions 69/292,6808/1743 is 23/508956

23 69, 6808
3, 296

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 69,6808 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6808 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 6808

List of positive integer factors of 6808 that divides 6808 without a remainder.

1,2,4,8,23,37,46,74,92,148,184,296,851,1702,3404,6808

Greatest Common Factor

We found the factors 69,6808 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6808 is 23.

Lets's calculate LCM of 292,1743

Given numbers has no common factors except 1. So, there LCM is their product i.e 508956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/508956

Therefore, the GCF of Fractions 69/292,6808/1743 is 23/508956

Least Common Multiple of 292,1743 with GCF Formula

Least Common Multiple of 292,1743 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 292,1743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,1743) = 1

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

GCF(292,1743) x common factors =1 x 1 = 1

LCM(292,1743) = ( 292 × 1743 ) / 1

LCM(292,1743) = 508956 / 1

LCM(292,1743) = 508956


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 69/292, 6808/1743

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 69/292, 6808/1743?

Answer: GCF of Numerators as per given numbers 69/292, 6808/1743 is

GCF of Numerators i.e. for 69,6808 is 23

LCM of denominators i.e. for 292,1743 is 508956.

Thus, GCF of Fractions is 23/508956.Finally, GCF of Fractions for 69/292, 6808/1743 is 23/508956.