Greatest Common Factor of 169/344, 7705/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/344, 7705/367

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 169/344,7705/367

Given fractions are 169/344,7705/367

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 169,7705

Greatest Common Factor of Numerators i.e. GCF of 169,7705 is 1 .

LCM of Denominators means LCM of 344,367 as per the given fractions.

LCM of 344,367 is 126248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,7705

GCF of Fractions 169/344,7705/367 is 1/126248

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

Greatest Common Factor of 169,7705 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,7705 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1,5,23,67,115,335,1541,7705

Greatest Common Factor

We found the factors 169,7705 . The biggest common factor number is the GCF number.
So the greatest common factor 169,7705 is 1.

Lets's calculate LCM of 344,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 126248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126248

Therefore, the GCF of Fractions 169/344,7705/367 is 1/126248

Least Common Multiple of 344,367 with GCF Formula

Least Common Multiple of 344,367 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 344,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,367) = 1

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

GCF(344,367) x common factors =1 x 1 = 1

LCM(344,367) = ( 344 × 367 ) / 1

LCM(344,367) = 126248 / 1

LCM(344,367) = 126248


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 169/344, 7705/367

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 169/344, 7705/367?

Answer: GCF of Numerators as per given numbers 169/344, 7705/367 is

GCF of Numerators i.e. for 169,7705 is 1

LCM of denominators i.e. for 344,367 is 126248.

Thus, GCF of Fractions is 1/126248.Finally, GCF of Fractions for 169/344, 7705/367 is 1/126248.